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.

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SabrineA730163 SabrineA730163 · Answer 1 · 2022-10-31T14:27:51+01:00

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

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

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

[tex]8.99p+3.99s\leq60[/tex]

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

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

Rounding to a whole number,

[tex]s\leq15[/tex]

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

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