Question

Jasmine has $ 26 to spend on binders and one pack of pens . The pack of pens costs $ 4.75 . Eoch binder costs $ 5 . Write an inequality to determine the maximum number of binders she can buy . Define your variable .

Answer 1

The total money Jasmine has to spend on binders and one pack of pens is $26

The pack of pens cost $4.75

Each binder costs $5

Let x be the number of one pack of pens

Let y be the number of each binder

`\begin{gathered} 1\cdot\text{ x + 5 }\cdot\text{ y }\leq\text{ 26} \\ x\text{ + 5y }\leq\text{ 26} \\ \text{This implies that Jasmine can either spend exact \$26 or less than \$26} \\ 4.75\text{ x 1 + 5 x y }\leq26 \\ 4.75\text{ + 5y }\leq\text{ 26} \\ \text{Collect the like terms} \\ 5y\text{ }\leq\text{ 26 - 4.75} \\ 5y\text{ }\leq\text{ 21.25} \\ \text{Divide both sides by 5} \\ (5y)/(5)\text{ }\leq(21.25)/(5) \\ y\text{ }\leq\text{ 4.25} \end{gathered}`

The maximum number of binders she can buy is 4