Basic Arithmetic : Linear Equations with Money

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

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Example Question #11 : Linear Equations With Money

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?

Possible Answers:

Correct answer:

Explanation:

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. 

Example Question #11 : Linear Equations With Money

There are 100 seats in a concert hall and each seat costs $20. The concert has sold $860 worth of seats so far. How many seats are left?

Possible Answers:

43 seats

80 seats

86 seats

57 seats 

14 seats

Correct answer:

57 seats 

Explanation:

In this problem, we need to first determine how many seats have been sold. In order to do so, we need to divide the total amount of money received for the seats, $860, by the cost of each individual seat, $20. $860 divided by $20 equals 43.

Now we know that the concert hall has sold 43 seats. However, we are not done yet. We need to subtract 43 from the original number of available seats, 100, in order to find the amount of remaining seats. 100 minus 43 is 57, so there are 57 seats left to be sold.

Example Question #171 : Basic Arithmetic

For her coffee stand, Lacy bought $100 worth of coffee beans. She then used all of the coffee beans to make individual cups of coffee, costing $2 each. She was able to sell 230 cups of coffee. How much profit did she make?

Possible Answers:

Correct answer:

Explanation:

To find Lacy's profit, we need to first determine how much money she made from simply selling her coffee. We know she sold 230 cups of coffee that cost $2 each, so we will multiply 230 by $2, which equals $460.

Now we need to subtract the amount she paid for the coffee beans originally, which was $100. $460 minus $100 equals $360.

 

This is Lacy's profit. 

Example Question #11 : Linear Equations With Money

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?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #11 : Linear Equations With Money

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?

Possible Answers:

Correct answer:

Explanation:

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. 

Example Question #11 : Linear Equations With Money

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?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #31 : Money And Time

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?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #31 : Money And Time

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?

Possible Answers:

Correct answer:

Explanation:

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. 

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