3.4 Word Problems: Solving Systems (Rally Coach Practice)

Quiz by Oscar Castro

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8 questions
• Q1
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?
daylily: \$8, geranium: \$6
daylily: \$7, geranium: \$9
daylily: \$4, geranium: \$7
daylily: \$3, geranium: \$11
30s
• Q2
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?
apple pie: \$9, lemon meringue pie: \$12
apple pie: \$14, lemon meringue pie: \$5
apple pie: \$5, lemon meringue pie: \$8
apple pie: \$13, lemon meringue pie: \$13
30s
• Q3
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?
adult ticket: \$14, student ticket: \$9
adult ticket: \$10, student ticket: \$19
adult ticket: \$11, student ticket: \$13
adult ticket: \$7, student ticket: \$17
30s
• Q4
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.
Van: 19, Bus: 41
Van: 8, Bus: 60
Van: 48, Bus: 18
Van: 18, Bus: 48
30s
• Q5
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?
hosta: \$5, shrub: \$13
hosta: \$10, shrub: \$3
hosta: \$7, shrub: \$8
hosta: \$8, shrub: \$7
30s
• Q6
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.
senior citizen ticket: \$20, child ticket: \$6
senior citizen ticket: \$14, child ticket: \$15
senior citizen ticket: \$15, child ticket: \$14
senior citizen ticket: \$15, child ticket: \$21
30s
• Q7
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.
ft² of grass sod: \$3, pot of ivy: \$4
ft² of grass sod: \$3, pot of ivy: \$7
ft² of grass sod: \$5, pot of ivy: \$2
ft² of grass sod: \$2, pot of ivy: \$5
30s
• Q8
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?
adult ticket: \$11, student ticket: \$7
adult ticket: \$14, student ticket: \$12
adult ticket: \$11, student ticket: \$8
adult ticket: \$12, student ticket: \$14
30s

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