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QuestionWhat number is 28% of if 48% of 28 equals that number? A) 3.76 B) 13 C) 48 D) 58.3

Studdy Solution

STEP 1

Assumptions1. We are given that48% of28 is equal to28% of an unknown number. . We need to find the unknown number.

STEP 2

We can set up an equation to represent the problem statement.48%×28=28%×X48\% \times28 =28\% \times X

STEP 3

Convert the percentages to decimal values.
48%=0.4848\% =0.4828%=0.2828\% =0.28So the equation becomes0.48×28=0.28×X0.48 \times28 =0.28 \times X

STEP 4

Now, plug in the values and solve for X.
0.48×28=0.28×X0.48 \times28 =0.28 \times X

STEP 5

To isolate X, divide both sides of the equation by0.28.
X=0.48×280.28X = \frac{0.48 \times28}{0.28}

STEP 6

Calculate the value of X.
X=0.48×280.28=48X = \frac{0.48 \times28}{0.28} =48So,48% of28 is28% of48.

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