Group a filled 2 vans and 5 buses with 202 students. Group b filled 10 vans and 13 buses with 578 students. Each can and bus car

Question

3 years ago

12

ried the same amount of students. Find the number of kids in each van and in each bus

1 answer:

Dmitry_Shevchenko [17] · Answer 1 · 2022-03-09T10:34:16+03:00

Answer: the number of students in each van is 11

the number of students in each bus is 36

Step-by-step explanation:

Let x represent the number of students in each van.

Let y represent the number of students in each bus.

Group a filled 2 vans and 5 buses with 202 students. This means that

2x + 5y = 202 - - - - - - - - -1

Group b filled 10 vans and 13 buses with 578 students. This means that

10x + 13y = 578 - - - - - - - - - - 2

Multiplying equation 1 by 10 and equation 2 by 2, it becomes

20x + 50y = 2020

20x + 26y = 1156

Subtracting

24y = 864

y = 864/24 = 36

Substituting y = 36 into equation 1, it becomes

2x + 5×36 = 202

2x + 180 = 202

2x = 202 - 180 = 22

x = 22/2 = 11