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What approximate value should come in pl...

What approximate value should come in place of question marks(?) in the following questions?
`1/8 xx 121 + 1/5 xx 76 - ? = 25`

A

5

B

45

C

15

D

10

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{1}{8} \times 121 + \frac{1}{5} \times 76 - ? = 25 \), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \frac{1}{8} \times 121 + \frac{1}{5} \times 76 - ? = 25 \] ### Step 2: Approximate the values We will approximate the numbers for easier calculation: - Approximate \( 121 \) to \( 120 \) (since \( 120 \) is divisible by \( 8 \)). - Approximate \( 76 \) to \( 75 \) (since \( 75 \) is divisible by \( 5 \)). Now, we rewrite the equation with these approximations: \[ \frac{1}{8} \times 120 + \frac{1}{5} \times 75 - ? = 25 \] ### Step 3: Calculate \( \frac{1}{8} \times 120 \) \[ \frac{1}{8} \times 120 = \frac{120}{8} = 15 \] ### Step 4: Calculate \( \frac{1}{5} \times 75 \) \[ \frac{1}{5} \times 75 = \frac{75}{5} = 15 \] ### Step 5: Substitute back into the equation Now substitute these values back into the equation: \[ 15 + 15 - ? = 25 \] ### Step 6: Simplify the equation Combine the values: \[ 30 - ? = 25 \] ### Step 7: Solve for ? To find \( ? \), we rearrange the equation: \[ ? = 30 - 25 \] \[ ? = 5 \] Thus, the approximate value that should come in place of the question mark is \( 5 \). ### Final Answer The answer is \( 5 \). ---
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