Let's solve the inequality! We will ignore the number with the variable. So, let's look at 50. Right now, 50 is a positive number. To solve the inequality, we need to use the inverse operation. The opposite/inverse of +50 is -50. So we will subtract 50 on both sides of the inequality.
25s+50 <250
-50 -50
The +50 and the -50 cancel each other out leaving us with:
25s<200
Now, let's look at 25s. The operation is multiplication. The inverse/opposite is division. So we must divide 25 into both sides.
25s/25 < 200/25
The 25s/25 cancel out, leaving us with the answer of:
s<8 (But since the problem states "no more than $250"...the answer would be a greater than or equal to sign like this ≤. Maybe you didn't know how to type this symbol, so I gave you two choices and you decide if your worksheet has this:≤ or this:<. If this:≤ then s≤8 would be the right answer.)
So, the greatest number of sweaters Melissa can buy is 8 sweaters IF it has this sign ≤ in the inequality like this: 50+25s≤250. If not, the answer would be 7 sweaters because the answer has to be the greatest number of sweaters, but also less than 8.
Hope this helped!
