Basic Arithmetic : Basic Arithmetic

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #141 : Basic Arithmetic

If you lie down to take a nap at \(\displaystyle 2:30\), and you nap for \(\displaystyle 73\) minutes, what time will it be when you wake up?

Possible Answers:

\(\displaystyle 3:37\)

\(\displaystyle 3:33\)

\(\displaystyle 3:43\)

\(\displaystyle 2:37\)

\(\displaystyle 3:03\)

Correct answer:

\(\displaystyle 3:43\)

Explanation:

First, we need to convert \(\displaystyle 73\) minutes into the combination of hours and minutes. One hour is equal to \(\displaystyle 60\) minutes therefore, we can rewrite \(\displaystyle 73\) minutes as the following:

\(\displaystyle 73 \text{ min}=60\text{ min}+13\text{ min}\)

and because

\(\displaystyle 60 \text{ min}= 1\text{ hour}\)

\(\displaystyle 73 \text{ min}= 1\text{ hour} + 13 \text{ min}\)

Now we need to add \(\displaystyle 1:13\) to \(\displaystyle 2:30\)

\(\displaystyle 2:30 +1:13=3:43\).

Thus you wake up from your nap at \(\displaystyle 3:43\).

Example Question #142 : Basic Arithmetic

Please choose the best answer for the question below. 

If Andrew leaves his house at \(\displaystyle 2:31\)pm and it takes him exactly two hours and fourteen minutes to get to his office, and then another eight minutes to get to his desk, at what time will he be at his desk?

Possible Answers:

\(\displaystyle 4:43\)pm

\(\displaystyle 5:02\)pm

\(\displaystyle 4:45\)pm

\(\displaystyle 4:53\)pm

\(\displaystyle 5:53\)pm

Correct answer:

\(\displaystyle 4:53\)pm

Explanation:

The first step in this process is to add two hours and fourteen minutes to \(\displaystyle 2:31\)pm.  Simply add them together, hours first, and then minutes:

Hours \(\displaystyle 2 + 2 = 4\)

Minutes: \(\displaystyle 31 + 14 = 45\)

So we know now that Andrew made it to his office at \(\displaystyle 4:45\)pm.  Add your final eight minutes to complete the problem:

\(\displaystyle 45 + 8 = 53\).

The hour has not changed, so we know that Andrew arrived at his desk at \(\displaystyle 4:53\)pm.  

Example Question #1 : Addition And Subtraction With Time

Melissa started practicing piano at 3:34PM. She practiced until 5:17PM. How long did she practice for?

Possible Answers:

2 hours and 43 minutes

2 hours and 17 minutes

1 hour and 43 minutes

1 hour and 17 minutes

Correct answer:

1 hour and 43 minutes

Explanation:

To subtract time, subtract the minutes then subtract the hours.

\(\displaystyle \text{Hours}: 5-3=2\)

\(\displaystyle \text{Minutes: }17-34=-17\)

Since we can't have negative minutes, add 60 to the minutes and subtract 1 from the hours (60 minutes = 1 hour).

\(\displaystyle \text{Hours}: 2-1=1\)

\(\displaystyle \text{Minutes: }-17+60=43\)

Example Question #1 : Money And Time

Nate started his math, history, English, and French homework at \(\displaystyle 3:00pm\). It took him \(\displaystyle 45\) minutes to finish his math homework, \(\displaystyle 23\) minutes to finish his history homework, \(\displaystyle 47\) minutes to finish his English homework, and \(\displaystyle 32\) minutes to finish his French homework. What time did Nate stop doing homework?

Possible Answers:

\(\displaystyle 6:27pm\)

\(\displaystyle 5:33pm\)

\(\displaystyle 6:33pm\)

\(\displaystyle 5:27pm\)

Correct answer:

\(\displaystyle 5:27pm\)

Explanation:

First, start by adding up the total amount of time Nate spent on doing his homework.

\(\displaystyle 45+23+47+33=147\)

Now, subtract \(\displaystyle 60\) minutes until the number of minutes is less than \(\displaystyle 60\) to figure out how many hours and minutes it took him to do his homework.

\(\displaystyle 147-60=87\)

\(\displaystyle 87-60=27\)

 

Because we subtracted \(\displaystyle 60\) twice, we know that he has done \(\displaystyle 2\) hours and \(\displaystyle 27\) minutes worth of homework.

To figure out when he finished doing his homework, add the hours together then add the minutes together.

\(\displaystyle \text{Hours}:3+2=5\)

\(\displaystyle \test{Minutes}:0+27=27\)

So then he finished at \(\displaystyle 5:27pm\)

Example Question #143 : Basic Arithmetic

Jane bought a pencil for \(\displaystyle \$0.56\), a skirt for \(\displaystyle \$9.89\), a coat for \(\displaystyle \$87.18\), and a headband for \(\displaystyle \$1.78\). How much did Jane pay in total for all the items she bought?

Possible Answers:

\(\displaystyle \$104.41\)

\(\displaystyle \$109.14\)

\(\displaystyle \$97.65\)

\(\displaystyle \$99.41\)

Correct answer:

\(\displaystyle \$99.41\)

Explanation:

Add up all the individual items.

Add

Example Question #144 : Basic Arithmetic

Billy earned \(\displaystyle \$20\) for shoveling his driveway. He wants to buy a new toy and a candy bar, and then add the rest to his piggy bank. The new toy costs \(\displaystyle \$9.49\) and the candy bar costs \(\displaystyle \$1.25.\) How much money will Billy have left over to add to his piggy bank?

Possible Answers:

\(\displaystyle \$9.26\)

\(\displaystyle \$9.36\)

\(\displaystyle \$10.36\)

\(\displaystyle \$10.26\)

\(\displaystyle \$9.24\)

Correct answer:

\(\displaystyle \$9.26\)

Explanation:

Billy had \(\displaystyle \$20.00\). After buying the toy he had \(\displaystyle \$10.51\) left over:

 \(\displaystyle (20-9.49=10.51)\).

After buying the candy bar he then had \(\displaystyle \$9.26\) left for his piggy bank,

 \(\displaystyle (10.51-1.25=9.26)\).

Example Question #3 : Money And Time

John recently bought the following school supplies: a calculator for \(\displaystyle \$23.45\), a pencil bag for \(\displaystyle \$1.35\), a mechanical pencil for \(\displaystyle \$2.34\), and a set of pens for \(\displaystyle \$0.60\)

How much did John spend in total on school supplies? 

Possible Answers:

\(\displaystyle \$26.74\)

\(\displaystyle \$27.00\)

\(\displaystyle \$26.47\)

\(\displaystyle \$27.84\)

\(\displaystyle \$27.74\)

Correct answer:

\(\displaystyle \$27.74\)

Explanation:

In order to solve this problem, you must add all of the costs of school supplies together. This can be done through the following equation: 

\(\displaystyle 23.45+1.35+2.34+0.60 = 27.74\)

Therefore, the total amount that John spent on school supplies is \(\displaystyle \$27.74\)

Example Question #145 : Basic Arithmetic

Jenny has a new job at the mall. Her first paycheck was \(\displaystyle \$245.74\). She bought a pair of shoes for \(\displaystyle \$61.39\) and a new dress for \(\displaystyle \$15.29\) on the weekend. How much money from her first paycheck does Jenny have left on Monday?

Possible Answers:

\(\displaystyle \$184.91\)

\(\displaystyle \$165.73\)

\(\displaystyle \$169.06\)

\(\displaystyle \$74.39\)

\(\displaystyle \$155.01\)

Correct answer:

\(\displaystyle \$169.06\)

Explanation:

You must subtract the cost of the two purchases from the overall paycheck amount.

Begin by subtracting the shoe purchase from the total paycheck amount:

\(\displaystyle \$245.74-\$61.39 = \$184.35\)

Then, subtract the cost of the dress: 

\(\displaystyle \$184.35-\$15.29 = \$169.06\)

\(\displaystyle \$169.06\) is the amount of money Jenny has left from her paycheck on Monday.

Example Question #2 : How To Add

Approximately how much will John need to pay if a pair of shoes cost $42.64, a pair of pants costs $37.99, and a shirt costs $21.34.

Possible Answers:

$120

$110

$90

$80

$100

Correct answer:

$100

Explanation:

The key word, "approximately," indicates that we must round each of these values. Let's round to the nearest tens place because each of our answer choices is rounded to the tens place.

Shoes cost $42.64. 

$42.64 rounded (down) to the nearest tens place is $40.

Pants cost $37.99.

$37.99 rounded (up) to the nearest tens place is $40.

A shirt costs $21.34.

$21.34 rounded (down) to the nearest tens place is $20.

Let's add up our estimated prices.

$40 + $40 + $20 =

$100.

Example Question #6 : How To Add

Approximately how much will Sophie need to buy a shirt at $12.99, a loaf of bread at $3.99, and a television at $43.76?

Possible Answers:

$100

$60

$61

$80

Correct answer:

$61

Explanation:

Since we're looking for an approximate value, we need to round our numbers up. Adding the three items gives a total of $60.74, so at least $61 is needed - thus $61 is the correct answer.

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