Question

Mrs. Hernandez bought 18 pens for her class. Highlighters cost $3 each, and gel pens cost $2.50 each. She spent a total of $50. Use a system of equations to find the number of highlighters and gel pens Mrs. Hernandez bought.

Answer 1

Answer:

$10\ highlighters\\8\ gel\ pens$

Step-by-step explanation:

Let

x------> the number of highlighters

y-----> the number of gel pens

we know that

$x+y=18$ ------> equation A

$3x+2.5y=50$ ------> equation B  

The intersection point both graphs is the solution of the system of equations

using a graphing tool

The intersection point is $(10,8)$

see the attached figure

therefore

$x=10\ highlighters\\y=8\ gel\ pens$

Answer 2

There are 9 highlighters and  8 gel pens