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What approximate value should come in pl...

What approximate value should come in place of the question mark (?) in the following equation?
(Note: You are not expected to calculate the exact value)
`71% "of" 259-6321=?-5% "of" 910`

A

50

B

164

C

310

D

288

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 71\% \text{ of } 259 - 632.1 = ? - 5\% \text{ of } 910 \) and find the approximate value of \( ? \), we can follow these steps: ### Step 1: Approximate the percentages and numbers We start by approximating the percentages and numbers involved: - Approximate \( 71\% \) as \( 70\% \). - Approximate \( 259 \) as \( 260 \). - Approximate \( 632.1 \) as \( 630 \). - Approximate \( 910 \) as \( 900 \). ### Step 2: Calculate \( 70\% \) of \( 260 \) Now, we calculate \( 70\% \) of \( 260 \): \[ 70\% \text{ of } 260 = \frac{70}{100} \times 260 = 0.7 \times 260 = 182 \] ### Step 3: Calculate \( 5\% \) of \( 900 \) Next, we calculate \( 5\% \) of \( 900 \): \[ 5\% \text{ of } 900 = \frac{5}{100} \times 900 = 0.05 \times 900 = 45 \] ### Step 4: Substitute the values into the equation Now we substitute the calculated values back into the equation: \[ 182 - 630 = ? - 45 \] ### Step 5: Simplify the equation Now we simplify the left side: \[ 182 - 630 = -448 \] So, we have: \[ -448 = ? - 45 \] ### Step 6: Solve for \( ? \) To find \( ? \), we add \( 45 \) to both sides: \[ ? = -448 + 45 = -403 \] ### Step 7: Final approximation Since we are looking for an approximate value, we can round \( -403 \) to the nearest whole number, which is \( -403 \). ### Conclusion Thus, the approximate value that should come in place of the question mark (?) is: \[ \boxed{-403} \]

To solve the equation \( 71\% \text{ of } 259 - 632.1 = ? - 5\% \text{ of } 910 \) and find the approximate value of \( ? \), we can follow these steps: ### Step 1: Approximate the percentages and numbers We start by approximating the percentages and numbers involved: - Approximate \( 71\% \) as \( 70\% \). - Approximate \( 259 \) as \( 260 \). - Approximate \( 632.1 \) as \( 630 \). - Approximate \( 910 \) as \( 900 \). ...
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