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Basic Arithmetic : Basic Arithmetic

Study concepts, example questions & explanations for Basic Arithmetic

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6 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : Linear Equations With Time

Jimmy the handyman earns $\$30$ an hour for fixing bathrooms. If he earned $\$270$ in a day, how many hours did he work?

Possible Answers:

Correct answer:

Explanation:

Let equal the total number of hours Jimmy works in a given day. If he earns $30 per hour, then $30h is the total amount of money Jimmy earns in a day. Given that he earned $270 on a given day:

30h=270

Dividing both sides by 30:

h=9 hours

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Example Question #1 : Linear Equations With Time

Francine wakes up at 6:00 am every day to get to school, and she always arrives at 8:00 am. If it takes Francine minutes to get ready, how long does it take her to get to school?

Possible Answers:

hour, minutes

hours, minutes

hours

Correct answer:

hour, minutes

Explanation:

To solve this problem, you need to create a linear equation. First, you know that it takes two hours total for Francine to get to school. Two hours can also been translated into a hundred and twenty minutes. Second, you know that it only takes her twenty minutes to get ready. Your variable is the time it takes her to get to school.

So:

x = 120 - 20

Therefore, x = 100 .

Now we convert this back into hours and minutes.

$100 \text{ min}= 60 \text{ min} +40\text{ min}$

Since 60 minutes is 1 hour it takes Francine an hour and fourty minutes to get to school.

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Example Question #1 : Multiplication And Division With Money

Leon bought pairs of socks that cost $\$3.21$ per pair, shirts that cost $\$9.89$ each, and a dozen pencils that cost $\$0.45$ for . How much did Leon spend in total?

Possible Answers:

$\$13.55$

$\$36.73$

$\$41.23$

$\$35.30$

Correct answer:

$\$36.73$

Explanation:

First, let's find the cost of the socks Leon bought.

$\text{Socks} = $3.12\times5=\$16.05$

Then find the total cost of the shirts Leon bought.

$\text{Shirts}=9.89\times2=\$19.78$

Next, find the cost of the pencils. Watch out here because the pencils are priced per 6. There are two 6's in a dozen.

$\text{ Pencil} =\frac{12}{6} \times0.45= \$0.90$

Add these subtotals together to get the answer.

$\$16.05 +\$19.78+\$0.90=\$36.73$

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Example Question #181 : Basic Arithmetic

Molly bought posters and paid a total of $\$144.12$ . What was the cost of each poster?

Possible Answers:

$\$11.21$

$\$12.41$

$\$12.01$

$\$9.89$

Correct answer:

$\$12.01$

Explanation:

To find the cost of each individual poster, divide the total cost by the number of posters Molly bought.

$\$144.12\div12=\$12.01$

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Example Question #3 : Multiplication And Division With Money

Please choose the best answer for the question below.

If John has $\$12,378.71$ in his savings account, and he accrues $1.7\%$ % interest on that savings account every year, how much money will John have in his account next year? All answers have been rounded to the nearest cent.

Possible Answers:

$\$12,588.16$

$\$12,689.15$

$\$12,589.15$

$\$12,589.14$

$\$12,589.75$

Correct answer:

$\$12,589.15$

Explanation:

For this problem, first you have to calculate the interest, and then add it to the toal in the bank account.

To calculate interest, convert the percent into a decimal 1.7% = .017, and multiply it by the total amount.

$0.017 \cdot \$12,378.71 = \$210.4380$ is your interest

$\$210.4380 + \$12,378.71 = \$12,589.1480$ is your total

round to the nearest cent and you arrive at $\$12,589.15$ .

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Example Question #4 : Multiplication And Division With Money

Please choose the best answer for the question below.

Anne worked at a coffee shop, where she made $\$9.42$ an hour. She left for a job as a receptionist, where she makes 1.7 times more money per hour. How much money will she make working an eight hour day at her new job? The answer has been rounded to the nearest whole cent.

Possible Answers:

$\$118.11$

$\$128.12$

$\$148.11$

$\$128.11$

$\$98.11$

Correct answer:

$\$128.11$

Explanation:

To do this problem, first break it into smaller parts. First, let's find Anne's wage as a receptionist:

$1.7 \cdot 9.42 = 16.014$

Then, take her new hourly wage, $\$16.014$ and multiply it by eight, for eight hours worked:

$16.014 \cdot 8 = \$128.112$

Finally, round to the nearest whole cent, and you get $\$128.11$ .

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Example Question #3 : Multiplication And Division With Money

Please choose the best answer for the question below.

Francis has to pay $\$500$ per month in rent, plus $\$150$ for heat and electricity, and $\$200$ for food. Francis works days a month, and he earns $\$80$ per day. How much money does Francis have left over at the end of the month?

Possible Answers:

$\$550$

$\$850$

$\$750$

$\$950$

$\$650$

Correct answer:

$\$750$

Explanation:

Break the problem into two parts. First, add up Francis' expenses:

$\$500 + \$200 + \$150 = \$850$

Then, calculate Francis' income:

$20 \cdot \$80 = \$1600$

Finally, subtract his expenses from his income:

$\$1600 - \$850 = \$750$

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Example Question #182 : Basic Arithmetic

Susan works 20 hours per week at a rate of $17/hour. How much money (in dollars) will Susan make in a month?

Possible Answers:

$\$1500$

$\$1360$

$\$750$

$\$600$

$\$980$

Correct answer:

$\$1360$

Explanation:

$\frac{17 dollars}{hour} \times \frac{20hours}{week} = \frac{340 dollars}{week}$

There are 4 weeks in a month, so:

$\frac{340 dollars}{week} \times {4 weeks} = \frac{1,360 dollars}{week}$

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Example Question #1 : Multiplication With Fractions

Multiply:

$\frac{5}{6}\times\frac{12}{25}=?$

Possible Answers:

$\frac{60}{100}$

$\frac{2}{5}$

$\frac{1}{75}$

Correct answer:

$\frac{2}{5}$

Explanation:

Multiply the numerators together, then multiply the denominators together.

$\frac{5}{6}\times\frac{12}{25}=\frac{5 \times 12}{6\times25}=\frac{60}{150}$

To simplfy we can pull out a from the numerator and denominator, thus canceling them. The following answer is the result:

$=\frac{30\cdot2}{30\cdot5}=\frac{2}{5}$

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Example Question #1 : Operations With Fractions

In a classroom of 36, $\frac{1}{3}$ of the students are girls. If $\frac{1}{6}$ of the girls enjoy eating strawberries, and $\frac{1}{3}$ of the boys also enjoy eating strawberries, how many total students in the class enjoy eating strawberries?

Possible Answers:

Correct answer:

Explanation:

First, find out how many girls and boys are in the class.

Multiply 36 by $\frac{1}{3}$ to find the number of girls.

$36\times \frac{1}{3}=12$

Then, subtract the number of girls from the total number of students in the class to find the number of boys.

36-12=24

Now, we can figure out how many girls enjoy eating strawberries. Multiply the total number of girls by the fraction of girls who enjoy eating strawberries.

$12\times\frac{1}{6}=2$

Now, do the same with the boys.

$24\times\frac{1}{3}=8$

Add these two numbers together to get the total number of students who enjoy eating strawberries.

2+8=10

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Basic Arithmetic : Basic Arithmetic

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #4 : Linear Equations With Time

Example Question #1 : Linear Equations With Time

Example Question #1 : Multiplication And Division With Money

Example Question #181 : Basic Arithmetic

Example Question #3 : Multiplication And Division With Money

Example Question #4 : Multiplication And Division With Money

Example Question #3 : Multiplication And Division With Money

Example Question #182 : Basic Arithmetic

Example Question #1 : Multiplication With Fractions

Example Question #1 : Operations With Fractions

All Basic Arithmetic Resources

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