Question

A clothing store sells pants and shirts. • The store can buy up to a total of 500 pants and shirts each month. • The store wants to buy at least as many shirts as pants. • The store wants to buy at least 100 pants each month.Which system of incqualities represents the constraints on the number of shirts. s, and number of pants. p. the store buys each month?

Answer 1

Let 'p' represent the number of pants and let 's' represent the umber of shirts.

Since the store can buy up to a total of 500 pants and shirts each month, the first inequality is:

$s+p\le500$

then, the store wants to buy at least as many shirts as pants, then this can be represented with the following inequality:

$s\ge p$

finally, the store wants to buy at least 100 pants each month, then:

$p\ge100$

therefore, the system of inequalities is:

$\begin{gathered} s+p\le500 \\ s\ge p \\ p\ge100 \end{gathered}$