Question

The number of paper clips that Crystal has is 42 divided by the number of paper clips that Gayle has. If

Gayle has 11 more paper clips than Crystal does, how many paper clips does each have?

Answer 1

The number of paper clips that Crystal has is 3 and the number of paper clips that Gayle has is 14

Explanation:

Let

x----> the number of paper clips that Crystal has

y ---> the number of paper clips that Gayle has

we know that

`y=x+11` ----> equation A

`x=42/y` ----> equation B

substitute equation A in equation B

`x=(42)/(x+11) \\ \\x^(2) +11x=42\\ \\x^(2) +11x-42=0`

Solve the quadratic equation by graphing

The solution is
`x=3\ paper\ clips`

see the attached figure

Find the value of y

`y=3+11=14\ paper\ clips`

therefore

The number of paper clips that Crystal has is 3

The number of paper clips that Gayle has is 14