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.
Accepted Solution
A:
Answer:[tex]10\ highlighters\\8\ gel\ pens[/tex]Step-by-step explanation:Letx------> the number of highlightersy-----> the number of gel penswe know that[tex]x+y=18[/tex] ------> equation A[tex]3x+2.5y=50[/tex] ------> equation B The intersection point both graphs is the solution of the system of equationsusing a graphing toolThe intersection point is [tex](10,8)[/tex]see the attached figuretherefore[tex]x=10\ highlighters\\y=8\ gel\ pens[/tex]