Question

A store sells pencils in small and large boxes. A large box has ten times as many pencils as a small box. Mr. Adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils. Mr. Adachi sets up a system of equations to model this situation. One of the equations is y = 10x. What is the other equation? Enter your answer in ax + by = c form, where a and b are whole numbers with no common factor other than 1.

Answer 1

`\boxed{5x+2y=250}`

Explanation:

Let
`x` represent a small box of pencil and
`y` represent a large box of pencil.

We were told that "A large box has ten times as many pencils as a small box". This statement gave the equation;

`y=10x`

If Mr. Adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils, then the equation Mr. Adachi set up was;

`5x+2y=250`

where
`a=5` and
`b=2` has no common factor other than 1.