SOLUTION: 7 2/5% of x is equal to 74. Solve for x. 48% of x=60. Solve for x.

Question 18601: 7 2/5% of x is equal to 74. Solve for x.

48% of x=60. Solve for x.
Answer by mmm4444bot(95) (Show Source): You can put this solution on YOUR website!
Hello There:
When working with percents, it helps to memorize the following relationships.
Number * Percent = Percentage
(The asterisk means multiplication.)
Usually, we are given two of the three pieces in this relationship, and we are asked to find the remaining piece.
In your first problem, I'm assuming that 7 2/5% is a mixed number. In other words, the percent is 7+2/5. Start by changing this mixed number into an improper fraction.
37/5% * x = 74
The percent sign means "divide by 100", so we divide 37/5 by 100 to get rid of the percent sign.
37/500 * x = 74
Now, solve for x by multiplying both sides by 500/37.
x = (500/37)*74
x = 1000
----------------
On your second problem, we have 48%. We divide by 100 to get rid of the percent sign. Dividing by 100 is the same as moving the decimal point two places to the left. In other words, 48.0 becomes 0.48.
0.48 * x = 60
Divide both sides by 0.48 to solve for x.
x = 60/(0.48)
x = 125
~ Mark

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