MATH SOLVE

2 months ago

Q:
# Class A rented and filled 11 vans and 4 buses with 289 students. School B rented and filled 7 vans and 12 buses with 581 students. How many students can the can carry? How many students can the bus carry

Accepted Solution

A:

Answer: Van = 198 studentsbus = 672 students Step-by-step explanation:Let x represent the number of students in the vans and y represent the number of students in the buses, then from the first statement , we have11x + 4y = 289 ................. equation 1From the second statement, we also have7x + 12y = 581 ............... equation 2Combining the two equations together and solving simultaneously , we have x = 11 and y = 42 therefore the number of students vans can carry will be'11x + 7x = 11(11) + 7 (11)= 121 + 77= 198The number of students buses will carry will be4y + 12y= 4(42) + 12(42) = 168 + 504= 672