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What approximate value will come in plac...

What approximate value will come in place of question mark (?) in the given question? (You are not expected to calculate the exact value.)
`135.59÷7.62xx2.93=75.01%of?`

A

80

B

68

C

40

D

20

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 135.59 \div 7.62 \times 2.93 = 75.01\% \text{ of } ? \), we will approximate the values and find the value of the question mark step by step. ### Step 1: Approximate the values - Approximate \( 135.59 \) to \( 136 \) - Approximate \( 7.62 \) to \( 8 \) - Approximate \( 2.93 \) to \( 3 \) ### Step 2: Rewrite the equation with approximations The equation now looks like: \[ \frac{136}{8} \times 3 = 75\% \text{ of } ? \] ### Step 3: Calculate \( \frac{136}{8} \) - \( \frac{136}{8} = 17 \) ### Step 4: Multiply by \( 3 \) Now, we multiply: \[ 17 \times 3 = 51 \] ### Step 5: Rewrite the equation Now, we have: \[ 51 = 75\% \text{ of } ? \] ### Step 6: Convert percentage to decimal Convert \( 75\% \) to a decimal: \[ 75\% = \frac{75}{100} = 0.75 \] ### Step 7: Set up the equation for the question mark Now we can express this as: \[ 51 = 0.75 \times ? \] ### Step 8: Solve for \( ? \) To find \( ? \), we rearrange the equation: \[ ? = \frac{51}{0.75} \] ### Step 9: Simplify the division Calculating \( \frac{51}{0.75} \): \[ ? = 51 \div 0.75 = 51 \times \frac{100}{75} = 51 \times \frac{4}{3} = 68 \] ### Conclusion Thus, the approximate value of \( ? \) is \( 68 \).
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