Question

A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much as $60 and want to buy at least two pairs of pants. Write the equations and possible solutions for this problem.

Answer 1

Let the number of pants bought be p and the number of shirts bought be s

• Each pant costs $8.99 and ,p, pants would cost

8.99p

• Each shirt costs $3.99 and ,s, shirts would cost

3.99s

The total budget is at max $60, so we can write the inequality:

`8.99p+3.99s\leq60`

-------------->>>>>>>>>>>>> First, let's find the s-intercept by putting p = 0:

`\begin{gathered} 8.99p+3.99s\leq60 \\ 8.99(0)+3.99s\leq60 \\ 3.99s\leq60 \\ s\leq(60)/(3.99) \\ s\leq15.03 \end{gathered}`

Rounding to a whole number,

`s\leq15`

-------------->>>>>>>>>>>>> Then, let's find the p-intercept by putting s = 0:

`\begin{gathered} 8.99p+3.99s\leq60 \\ 8.99p+3.99(0)\leq60 \\ 8.99p\leq60 \\ p\leq(60)/(8.99) \\ p\leq6.67 \end{gathered}`