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Math  /  Numbers & Operations

Question23) 50 is 20%20 \% of what number? 25) 24%24 \% of what is 200 ?

Studdy Solution

STEP 1

1. We need to determine the base number from which a given percentage results in a known value.
2. The problem involves basic percentage calculations and algebraic manipulations.
3. The final result should be a single number.

STEP 2

1. Formulate the equation for the first problem (50 is 20%20\% of what number?).
2. Solve the equation to find the unknown number.
3. Formulate the equation for the second problem (24%24\% of what is 200?).
4. Solve the equation to find the unknown number.

STEP 3

Formulate the equation for the first problem. Let xx be the unknown number. According to the problem, 5050 is 20%20\% of xx.
50=0.20x 50 = 0.20x

STEP 4

Solve the equation for xx by isolating xx on one side of the equation.
x=500.20 x = \frac{50}{0.20}

STEP 5

Calculate the value of xx.
x=250 x = 250

STEP 6

Formulate the equation for the second problem. Let yy be the unknown number. According to the problem, 24%24\% of yy is 200200.
0.24y=200 0.24y = 200

STEP 7

Solve the equation for yy by isolating yy on one side of the equation.
y=2000.24 y = \frac{200}{0.24}

STEP 8

Calculate the value of yy.
y≈833.33 y \approx 833.33
Solution: For problem 23, the unknown number is 250250. For problem 25, the unknown number is approximately 833.33833.33.

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