SOLUTION: Hi I have this word problem I need help on figuring out the formula to use. the problem reads. A skirt and a blouse together cost $75. The skirt costs $15 more than the blouse.

Question 254227: Hi I have this word problem I need help on figuring out the formula to use. the problem reads.
A skirt and a blouse together cost $75. The skirt costs $15 more than the blouse. What is the cost of the skirt? What is the cost of the blouse?
I would greatly appreciate your help on this problem Thank you
Scott
Found 2 solutions by richwmiller, jim_thompson5910:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
s+b=75
s=15+b

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let s=cost of skirt, b=cost of blouse

Since "A skirt and a blouse together cost $75", we know that . Also, because "The skirt costs $15 more than the blouse", we can say that

Start with the first equation.

Plug in

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

Go back to the second equation.

Plug in

Add

===============================================================
Answer:

So the solutions are and which means that the blouse costs $30 and the skirt costs $45

Take note that the skirt is $15 more than the blouse and that 30+45=75. So our answer is verified.
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