Question

Mr. Alhammadi is shopping for school supplies with his children. Rashed selected 3 one-inch binders and 2 two-inch binders, which cost a total of 29 dirhams. Matar selected 5 one-inch binders and 2 two-inch binders, which cost a total of 35 dirhams.

Write a system of equations that represents the above situation.

I need help ASAP please :(

Answer 1

3x + 2y = 29

5x + 2y = 35

Explanation:

Let

x = cost of one-inch binders

y = cost of two-inch binders

Rasheed:

3x + 2y = 29 (1)

Matar:

5x + 2y = 35 (2)

3x + 2y = 29 (1)

5x + 2y = 35 (2)

Using elimination method, subtract (1) from (2)

5x - 3x = 35 - 29

2x = 6

x = 6/2

x = 3

Substitute x = 3 into (1)

3x + 2y = 29 (1)

3(3) + 2y = 29

9 + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2

y = 10