At a sale this week, a suit is being sold for $296.40. This is a 62% discount from the original price. What was the original pri ce?
2 answers:
Suppose the original price to be x. 62%x=296.4 Divide both sides by 62% to get x=478, which is the original price.
Answer:
Rounded: $478.06
Step-by-step explanation:
Set up an equation:
Variable x = original price
62/100 = 296.40/x
Cross multiply
62 × x = 100 × 296.40
62x = 29,640
Divide both sides by 62:
x = 478.064516....
Round to nearest cent (hundredths place):
x = 478.06
Check your work (using the rounded estimate will be close to $296.40 but not exact because it is rounded; once you round your answer and it should match):
478.06 × 62%
Convert the percentage into a decimal:
478.06 × 0.62
296.3972
Round to the nearest cent (hundredths place):
296.40
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