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How do I find the answer to this percentage problem?
Andrew plays saxophone is his school's jazz band. He is a big fan of the Gerry Mulligan Quartet, famous for the cool jazz sound. He collects their recordings. He found a copy of Mulligan's "Disc Jockey Jump" recorded by the Gene Krupa Band in 1947 at an estate sale. He paid $94.69 for the recording that sold for $2.25 in 1947.
By what percentage had the price of the recording increased?
The problem would read as follows:
94.69=x% x 2.25
The next step is to get rid of the 2.25 on the right side of the equation by doing the opposite function. Since you are multiplying there, you must divide. You must also perform this operation on the left side:
94.69/2.25=x% x 2.25/2.25
The two 2.25's on the right side will cancel each other out.
94.69/2.25=x%
Now divide:
94.69/2.25=42.084444444444444
Move the decimal point to the right two digits to convert to a percentage.
4208.444444444444444444444444444444444%
Double check your answer by multiplying 4208.444444444444444444444444444444444444 x 2.25=94.6899999999999999999999
or 94.69.
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