Basic Math › Linear Equations with Money
If Bobby makes an hour plus a
bonus a day, how much would Bobby make if he works
hours today?
1. Find the equation from this scenario:
Since Bobby makes $12 an hour, you know that your slope is 12 because his total pay will be the $12 multiplied by the number of hours he worked.
Add the $5 daily bonus Bobby makes, which is your y-intercept in this equation.
Total = $12(hours) + $5
2. Find his total pay for 5 hours using the above equation:
$65
Bill receives a monthly stipend of $500. He also works a part-time job, earning $30 a day. This month, he worked 10 days. How much money did he receive this month?
First, we want to determine Bill's income this month, independent of his stipend. We calculate his income by multiplying $30 by how many days he worked in a month. In this case, he worked 10 days. Therefore, we multiply $30 by 10, which equals $300.
Since Bill also has a consistent monthly stipend of $500, we add his income of $300 to his stipend of $500, which totals $800.
Jamie makes $60 a day, 5 days a week. If her rent is $300 every 4 weeks, what is her net profit in 4 weeks?
In 4 weeks, Jamie will automatically be spending $300 on rent, so we will subtract this amount from whatever income Jamie makes.
In order to calculate her income, we will multiply $60 by 5, which equals $300.
Jamie makes $300 a week.
Then we will multiply this number by 4, since we are finding her net profit over 4 weeks. $300 times 4 equals $1200.
Lastly, we subtract her rent payment ($300) from her $1200 income, making her net profit $900.
Jim makes per hour. If he works
hours per day for
days, how much money will he earn?
Create a linear equation to find your answer:
Since Jim makes 12 dollars per hour we can multiply 12 by the number of hours he worked. We then can multiply that number by the number of days he worked to get the total money earned.
Convert back into dollars, so you have .
At a salon, it costs $50 to get a hair cut, and an extra $12 for each additional service. Samantha gets a hair cut, highlights, shampooing, and styling. How much does she spend at the salon?
Samantha initially spends $50 on a haircut, and then an additional $12 on each service. Aside from the haircut, Samantha gets highlights, a shampoo and styling, which makes 3 services. We now will multiply the cost of each service ($12) by the number of services (3).
This equals $36, which we will add to the initial fee for the hair cut, $50. $36 plus $50 equals $86, the total cost of Samantha's hair cut and services.
Ike is ordering an ice cream sundae. A basic sundae costs $3.50, and each additional topping costs $0.50. Ike has $7.00. How many toppings can Ike order on his sundae?
To begin this problem, we need to isolate how much money Ike has to spend on toppings. In order to do this, we will first subtract the initial cost of the sundae ($3.50) from the amount of money that Ike has ($7.00).
Now, we need to see how many $0.50 toppings Ike can afford with $3.50. To do this, we will divide $3.50 by $0.50, which equals 7.
Therefore, Ike can afford to purchase 7 toppings for his sundae.
In order for Jerry's Hot Dog Stand to be a vendor at the festival, Jerry must pay a $500 fee. At the festival, Jerry sold 300 hot dogs for $4 each. How much profit did Jerry make at the festival?
First we will determine how much money Jerry earned from selling hot dogs at the festival. To do this, we will multiply the number of hot dogs sold (300) by the cost of each hot dog ($4). This comes to a total of $1200 earned.
Now we need to subtract the $500 vendor fee from the total earned, bringing Jerry's profit to $700.
At the arcade, it costs $0.50 to play each game. Carly started the day with $20, and then played 25 games at the arcade. She also owed her friend Blake $5, and paid him back at the arcade. How much money did Carly have at the end of the day?
To begin solving this problem, we will first determine how much money Carly spent playing games at the arcade. Since she played 25 games at $0.50 each, we will multiply 25 by $0.50, which equals $12.50.
Then Carly had to pay her friend Blake $5 that she owed him, so we will add $5 to the $12.50 she already spent, which equals $17.50.
The last step is to subtract our total amount spent, $17.50 from her starting amount, $20. When we do this, we find that Carly had $2.50 remaining at the end of the day.
Pete and his friends go to a restaurant. Each dish costs $6. They buy 9 different dishes, and tip the waiter $30 for excellent service. How much do Pete and his friends spend at the restaurant?
First, we will multiply the cost of each dish ($6) with the number of dishes purchased (9).
Then we will add on the cost of the tip for the waiter, $30, which brings the total that Pete and his friends spent at the restaurant to $84.
The Johnson family decided to go bowling. It costs $10 to rent a bowling lane, and $2 to rent bowling shoes. There are 5 people in the family and they all share one bowling lane. How much did the Johnson family spend?
To find the cost of the bowling outing for the Johnson family, we need to add the cost of the bowling lane with the cost of renting shoes. Each family member rents a pair of shoes, which cost $2 per pair. Since there are 5 members of the Johnson family, we will multiply 5 times $2, which equals $10.
Then we need to add the cost of renting one bowling lane, which is another $10. The Johnson family spent $20 at the bowling alley.