SOLUTION: This is my child's homework. Would appreciate your help. They use proportions to solve percent word problems so if you could please provide a solution using proportions, it will be

Algebra ->  Proportions  -> Lessons -> SOLUTION: This is my child's homework. Would appreciate your help. They use proportions to solve percent word problems so if you could please provide a solution using proportions, it will be      Log On


   



Question 1138002: This is my child's homework. Would appreciate your help. They use proportions to solve percent word problems so if you could please provide a solution using proportions, it will be easier for him to understand. Thank you in advance.

An appliance store sold a refrigerator for $775. The sale price was 25% off after an instant rebate of $25.00. What was the original price of the refrigerator?

Found 2 solutions by math_helper, josgarithmetic:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = original price
x-25 = price after $25 instant rebate

Now you want to find 75% of that. Percent literally means "per 100" so 75% is equivalent to the fraction 75/100 (and also equivalent to the decimal 0.75, but that is for future reference).

So the proportion is
+matrix%281%2C3%2C+75%2F100+%2C%22+=+%22%2C+775%2F%28x-25%29%29+

Not sure what your child's teacher does to solve, but cross-multiplying is common, step by step:
Cross-multiply:
+75%2A%28x-25%29+=+775%2A100+

Simplify left hand side:
+75x+-1875+=+77500+

Add 1875 to both sides:
+75x+=+77500%2B1875+

Simplify right hand side:
+75x+=+79375+

Divide both sides by 75:
++x+=+78375%2F75+

Simplify right hand side:
+x+=+1058.33+

Original price was $1058.33




Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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store sold a refrigerator for $775. The sale price was 25% off after an instant rebate of $25.00. What was the original price of the refrigerator?
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p, the original price

Apply instant rebate:
p-25

Apply 25% off AFTER the rebate:
0.75%28p-25%29
(Twnty-five percent off means, keeping just 75 percent on.)

Sale Price highlight_green%280.75%28p-25%29=775%29, the equation to solve.