Question

The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number of pens, and let y represent the number of pencils. Write an equation that describes the number of pens and pencils that the glee club can buy. What is the greatest number of each type of writing tool that the club can buy? I Equation: y = Greatest number of pens: Greatest number of pencils:

Answer 1

We know that

• The total is $90.

,

• Each pen costs $0.75.

,

• Each pencil costs $0.15.

,

• x represents pens, and y represents pencils.

Based on the given information, the expression is

$0.75x+0.15y=90$

The greatest number of pencils would be 100.

The greatest number of pens would be 100.

Since these values satisfy the equation

$\begin{gathered} 0.75(100)+0.15(100)=90 \\ 75+15=90 \\ 90=90 \end{gathered}$

Therefore, they can buy 100 pens and 100 pencils.