8v + 8b = 240
4v + 1b = 54
8v + 8b = 240
-2(4v + 1b = 54)
8v + 8b = 240
-8v - 2b = -108
-----------------------
6b = 132
b = 22
v = 8
Each bus held 22 students and each van held 8 students. <==ANSWER
4) The senior classes at highschool A and highschool B planned separate trips to New York City. the senior class at the highschool A rented and filled 1 van and 6 buses with 372 students. highschool B rented and filled 4 vans and 12 buses with 780 students. each van and each bus carried the same number of students. How many students can a van carry? how many students can a bus carry?
1v + 6b = 372
4v + 12b = 780
-4(1v + 6b = 372)
4v + 12b = 780
-4v - 24b = -1488
4v + 12b = 780
--------------------------
-12b = -708
b = 59
v = 18
There were 59 per bus and 18 per van.<==ANSWER
5) Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75 dollars. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 children tickets. what is the price of one senior citizen ticket and one child ticket?
3S + 9C = 75
8S + 5C = 67
-5(3S + 9C = 75)
9(8S + 5C = 67)
-15S - 45C = -375
72S + 45C = 603
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57S = 228
S = $4
C = $7
Each senior citizen paid $4 and each child's ticket was $7. <==ANSWER
6) Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small of oranges and one large box of oranges.
3S + 14L = 203
11S + 11L = 220
11(3S + 14L = 203)
-3(11S + 11L = 220)