Question

HELPPPP ASAPPPP PLEASE

A postal service offers flat-rate shipping for mail in special boxes. Today, Ahmed shipped 1
small box and 6 medium boxes, which cost him 360 dirhams to ship. Meanwhile, Sarah
shipped 3 small boxes and 6 medium boxes, and paid 420 dirhams.
a) Write a system of equations that represents Ahmed and Sara's purchases.

Answer 1

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

Explanation:

Let

Cost of the small box = x

Cost of the medium box = y

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

x + 6y = 360 (1)

3x + 6y = 420 (2)

Eliminate y by subtracting (1) from (2)

3x - x + 6y - 6y = 420 - 360

2x = 60

x = 60/2

x = 30

Substitute x = 30 into (1) to find y

x + 6y = 360

30 + 6y = 360

6y = 360 - 30

6y = 330

y = 330/6

y = 55

Cost of the small box = x = 30 dirhams

Cost of the medium box = y = 55 dirhams