All Basic Arithmetic Resources
Example Questions
Example Question #1 : Linear Equations With Time
It takes Daisy hour to plant strawberry plants. If her goal is to plant strawberry plants, how many hours will she need to spend planting?
Let equal the number of hours it takes Daisy to plant strawberry plants.
Given that she can plant 10 strawberry plants in an hour, Daisy can plant strawberry plants in an hour.
If she wants to plant 70 strawberry plants, then she will plant strawberry plants.
Dividing both sides by 10, we find that Daisy will take to plan 70 strawberry plants.
Example Question #2 : Linear Equations With Time
Two joggers start from the opposite end of a mile course running toward each other. The first jogger is running at a rate of miles per hour, while the second jogger is running at a rate of miles per hour. After how many hours will the joggers meet?
Let represent the number of hours each jogger runs. We know that the first jogger is running at a rate of 4 miles per hour; since , we therefore know that the first jogger runs a distance of .
By the same logic, we know that the second jogger runs a distance of .
Since we are looking for the point at which the joggers meet up after running from opposite directions, we know that together they will have covered a total of 10 miles. Therefore:
Simplifying the equation:
Example Question #4 : Linear Equations With Time
Jimmy the handyman earns an hour for fixing bathrooms. If he earned in a day, how many hours did he work?
Let equal the total number of hours Jimmy works in a given day. If he earns $30 per hour, then is the total amount of money Jimmy earns in a day. Given that he earned $270 on a given day:
Dividing both sides by 30:
Example Question #1 : Linear Equations With Time
Francine wakes up at am every day to get to school, and she always arrives at am. If it takes Francine minutes to get ready, how long does it take her to get to school?
hour, minutes
hour, minutes
hour, minutes
hours, minutes
hours
hour, minutes
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:
Therefore, .
Now we convert this back into hours and minutes.
Since 60 minutes is 1 hour it takes Francine an hour and fourty minutes to get to school.
Example Question #1 : Multiplication And Division With Money
Leon bought pairs of socks that cost per pair, shirts that cost each, and a dozen pencils that cost for . How much did Leon spend in total?
First, let's find the cost of the socks Leon bought.
Then find the total cost of the shirts Leon bought.
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.
Add these subtotals together to get the answer.
Example Question #41 : Money And Time
Molly bought posters and paid a total of . What was the cost of each poster?
To find the cost of each individual poster, divide the total cost by the number of posters Molly bought.
Example Question #3 : Multiplication And Division With Money
Please choose the best answer for the question below.
If John has in his savings account, and he accrues % 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.
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.
is your interest
is your total
round to the nearest cent and you arrive at .
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 an hour. She left for a job as a receptionist, where she makes 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.
To do this problem, first break it into smaller parts. First, let's find Anne's wage as a receptionist:
Then, take her new hourly wage, and multiply it by eight, for eight hours worked:
Finally, round to the nearest whole cent, and you get .
Example Question #3 : Multiplication And Division With Money
Please choose the best answer for the question below.
Francis has to pay per month in rent, plus for heat and electricity, and for food. Francis works days a month, and he earns per day. How much money does Francis have left over at the end of the month?
Break the problem into two parts. First, add up Francis' expenses:
Then, calculate Francis' income:
Finally, subtract his expenses from his income:
Example Question #42 : Money And Time
Susan works 20 hours per week at a rate of $17/hour. How much money (in dollars) will Susan make in a month?
There are 4 weeks in a month, so: