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
[tex]y=x+11[/tex] ----> equation A
[tex]x=42/y[/tex] ----> equation B
substitute equation A in equation B
[tex]x=\frac{42}{x+11} \\ \\x^{2} +11x=42\\ \\x^{2} +11x-42=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=3\ paper\ clips[/tex]
see the attached figure
Find the value of y
[tex]y=3+11=14\ paper\ clips[/tex]
therefore
The number of paper clips that Crystal has is 3
The number of paper clips that Gayle has is 14
