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

The linear equation in two variables can be solved by various methods, the common method to solve it is the substitution method. The number of highlighters is 10 and gel pens are 8 bought by Mrs. Hernandez.

Mrs. Hernandez bought 18 pens for her class.

The cost of one highlighter is $3.

The cost of one pen is $2.50.

She spent a total of $50.

We need to find the number of highlighters and gel pens bought by Mrs. Hernandez.

Let us assume the number of highlighters bought by her is x and the number of pens bought by her is y.

The total cost of the pen and highlighter given in the question is  $50.

Therefore,

$3x+2.5y=50$      ......(1)

The total number of highlighters and pens is 18.

Thus,

$x+y=18$      .....(2)

By solving the equations, we get.

$x=10\\y=8$

The number of highlighters is 10 and gel pens are 8 bought by Mrs. Hernandez.

To know more about the system of equations, please refer to the link:

https://brainly.com/question/12895249