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161% of 3578 + 139.95 + 5/8 of 161.56...

`161% ` of 3578 + 139.95 +` 5/8 ` of 161.56 = ?

A

6000

B

6500

C

6700

D

5500

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question \( 161\% \) of \( 3578 + 139.95 + \frac{5}{8} \) of \( 161.56 \), we can break it down into three parts and approximate each part. ### Step 1: Calculate \( 161\% \) of \( 3578 \) 1. Convert \( 161\% \) to a decimal: \[ 161\% = \frac{161}{100} = 1.61 \] 2. Multiply by \( 3578 \): \[ 1.61 \times 3578 \approx 1.6 \times 3600 = 5760 \] ### Step 2: Approximate \( 139.95 \) 1. Round \( 139.95 \) to the nearest whole number: \[ 139.95 \approx 140 \] ### Step 3: Calculate \( \frac{5}{8} \) of \( 161.56 \) 1. First, approximate \( 161.56 \) to \( 162 \) (since \( 161.56 \) is closer to \( 162 \)). 2. Calculate \( \frac{5}{8} \) of \( 162 \): \[ \frac{5}{8} \times 162 = \frac{5 \times 162}{8} = \frac{810}{8} = 101.25 \] ### Step 4: Add all the approximated values together 1. Combine the results from Steps 1, 2, and 3: \[ 5760 + 140 + 101.25 \approx 5760 + 140 + 101 = 6001.25 \] ### Final Answer Since we are looking for an approximate value, we can round \( 6001.25 \) to \( 6000 \). Thus, the final answer is: \[ \text{Answer} \approx 6000 \] ---
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