Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their combined pay was $65. Find the hourly rate of pay for each person.

Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length and the width.

A collection of nickels and quarters is worth $2.85. There are 3 more nickels than quarters. How many nickels and quarters are there?

Ann and Betty together have $60. Ann has $9 more than twice Betty’s amount. How much money does each have?

A movie theater charges $5 for an adult’s ticket and $2 for a child’s ticket. One Saturday, the theater sold 785 tickets for $3280. How many of each type of ticket were sold?

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? Let x represent the number of toppings and y represent the total cost. Hint one equation is blue and the other is in green.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? Let x represent the number of shirts and y represent the total cost. Hint one equation is in blue and the other is in green.

Mika and her friend Cindy are knitting scarves for the homeless. Mika had already completed 10 scarves and has committed to making 6 more scarves per day. Cindy, who has not completed any scarves yet, has more free time and can make 8 scarves per day. Write and solve the system. Let x represent the number of days and let y represent the total number of scarves. How long will that take for Mika and Cindy to have made the same amount of scarves? How many scarves will both of them have made?

Sam has been planting young trees in his garden. The maple tree that is 30 inches tall is growing 3 inches per month, whereas the oak tree that is 35 inches tall is growing 2 inches per month. Write and solve the system. Let x represent the number of months and let y represent the total height of the tree. How many months will it take for both trees to be the same height? What height will they both be?

Translate this sentence into an equation.
72 is the product of 8 and a Steve's age.
Use the variable h to represent Steve's age.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?