SALES Ling can spend no more than $120 at the summer sale of a department store. She wants to buy shirts on sale for $15 each. How do you write and solve an inequality to determine the number of shirts she can buy?

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Answer 1 · 2018-04-29T22:11:26

The inequality is #15x <= 120#, and she can buy at most #8# shirts.

Let's split this word problem up.

"no more" refers to the number or less than that, or #<=#.

So whatever Ling buys has to be #<= 120#.

She wants to buy an UNKNOWN number of shirts for #$15# each.

So we set that UNKNOWN value to #x#, and form an inequality:

#15x <= 120#

To solve for #x#, we divide both sides by #color(red)15#:
#(15x)/color(red)15 <= 120/color(red)15#

Therefore,
#x <= 8#

She can buy at most #8# shirts.

Hope this helps!