A055 – Word Problems: Systems of Equations

Genna and John are selling candy for school. Customers can buy packages of milk chocolate and packages of dark chocolate. Genna sold 12 packages of milk chocolate and 4 packages of dark chocolate for a total of $100. John sold 2 packages of milk chocolate and 9 packages of dark chocolate for a total of $125. How much does on package of milk chocolate cost?

Kevin and Lydia both decided to improve their yards by planting shrubberies and buying garden gnomes. They bought their supplies from the same store. Kevin spent $160 on 2 shrubberies and 12 garden gnomes. Lydia spent $240 on 9 shrubberies and 14 garden gnomes. What is the cost of one shrubbery?

Marco and Rachel are selling shirts for school. Customers can buy red shirts or blue shirts. Marco sold 14 red shirts and 13 blue shirts for a total of $498. Rachel sold 12 red shirts and 14 blue shirts for a total of $484. Find the cost of one red shirt.

Kel and Diana are selling glasses of lemonade. Customers can buy a small glass of lemonade or a large glass or lemonade. Kel sold 9 small glasses of lemonade and 10 large glasses of lemonade for a total of $235. Diana sold 7 small glasses of lemonade and 11 large glasses of lemonade for a total of $244. Find the cost of one small glass of lemonade.

Jonathan and Jacky both improved their aquariums by buying red herrings and decorative rocks. They bought their supplies from the same store. Jonathan spent $129 on 12 red herrings and 9 decorative rocks. Jacky spent $113 on 9 red herrings and 10 decorative rocks. Find the cost of one red herring.

Jack and Jill each improved their hills by installing guardrails and floodlights. They bought their supplies from the same store. Jack spent $40 on 4 guardrails and 12 floodlights. Jill spent $32 on 6 guardrails and 4 floodlights. Find the cost of one guardrail.

The retirees at Senior enter A and Senior center B planned separate trips to a school play. The retirees at Senior Center A rented and filled 12 vans and 8 buses with 404 retirees. The retirees at Center B rented and filled 7 vans and 7 buses with 308 retirees. Each van held the same number of retirees. Each bus held the same number of retirees. Find the number of retirees in each van.

Jenny and Penny are also selling glasses of lemonade. Customers can buy lemonade with extra lemon and lemonade made with mineral water. Jenny sold 8 glasses of extra lemon lemonade and 11 glasses of mineral water lemonade for a total of $269. Penny sold 6 glasses of extra lemon lemonade and 2 glasses of mineral water lemonade for a total of $108. Find the cost of one glass of lemonade with extra lemon.

Genna decided to sell candy with Serena instead. Customers can buy packages of white chocolate and packages of nougat candy. Genna sold 3 packages of white chocolate and 7 packages of nougat candy for a total of $161. Serena sold 2 packages of white chocolate and 6 packages of nougat candy for a total of $134. How much does one package of white chocolate cost?

Bruce's school is selling tickets to a play. On the first day of the ticket sales, the school sold 11 retiree tickets and 4 student tickets for a total of $214. The school took in $280 on the second day by selling 5 retiree tickets and 14 student tickets. Find the price of a retiree ticket.