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almond37 [142]
3 years ago
6

School A rented and filled 5 vans and 9 buses with 499 students. School B rented and filled 10 vans and 9 buses with 539 student

s. How many students can a van carry? How many students can a bus carry?
Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

The Number of students:

A van can carry = x = 8 students

A bus can carry = y = 51 students

Step-by-step explanation:

Let us represent

Number of students:

A van can carry = x

A bus can carry = y

School A rented and filled 5 vans and 9 buses with 499 students.

5x + 9y = 499.... Equation 1

School B rented and filled 10 vans and 9 buses with 539 students.

10x + 9y = 539..... Equation 2

Combining both Equations

5x + 9y = 499.... Equation 1

10x + 9y = 539..... Equation 2

Using Elimination method

Subtract Equation 2 from 1

-5x = - 40

x = -40/-5

x = 8 students

Solving for y using Equation 1

5x + 9y = 499.... Equation 1

5 × 8 + 9y = 499

40 + 9y = 499

9y = 499 - 40

9y = 459

y = 459/9

y = 51 students

Therefore,

The Number of students:

A van can carry = x = 8 students

A bus can carry = y = 51 students

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