Question

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

Answer 1

Answer:

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

Step-by-step 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

$x=\frac{42}{x+11} \\ \\x^{2} +11x=42\\ \\x^{2} +11x-42=0$

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