3.4 Word Problems: Solving Systems (Rally Coach Practice)

Scott and Shanice each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Scott spent $192 on 12 daylilies and 12 geraniums. Shanice spent $129 on 12 daylilies and 5 geraniums. What is the cost of one daylily and the cost of one geranium?

Natalie and Jenny are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Natalie sold 13 apple pies and 10 lemon meringue pies for a total of $237. Jenny sold 13 apple pies and 2 lemon meringue pies for a total of $141. What is the cost each of one apple pie and one lemon meringue pie?

Jenny's school is selling tickets to a play. On the first day of ticket sales the school sold 6 adult tickets and 1 student ticket for a total of $79. The school took in $235 on the second day by selling 6 adult tickets and 13 student tickets. What is the price each of one adult ticket and one student ticket?

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 4 vans and 2 buses with 168 students. High School B rented and filled 3 vans and 6 buses with 342 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Scott and Eugene each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Scott spent $82 on 6 hostas and 5 shrubs. Eugene spent $29 on 3 hostas and 1 shrub. What is the cost of one hosta and the cost of one shrub?

The school that Adam goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 2 senior citizen tickets and 3 child tickets for a total of $73. The school took in $114 on the second day by selling 6 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Beth and Jaidee each improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Beth spent $71 on 3 ft² of grass sod and 13 pots of ivy. Jaidee spent $26 on 8 ft² of grass sod and 2 pots of ivy. Find the cost of one ft² of grass sod and the cost of one pot of ivy.

The school that Sarawong goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $118. The school took in $266 on the second day by selling 14 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket?