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Find the value of question mark (?) in t...

Find the value of question mark (?) in the following questions.
`? + 13 xx 50 = 420 + "45% of 800" + 220`

A

300

B

350

C

400

D

450

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of the question mark (?) in the equation: \[ ? + 13 \times 50 = 420 + 45\% \text{ of } 800 + 220 \] Let's solve it step by step. ### Step 1: Calculate \( 13 \times 50 \) First, we need to calculate the multiplication on the left side of the equation. \[ 13 \times 50 = 650 \] ### Step 2: Rewrite the equation Now, we can rewrite the equation with the calculated value: \[ ? + 650 = 420 + 45\% \text{ of } 800 + 220 \] ### Step 3: Calculate \( 45\% \text{ of } 800 \) Next, we need to calculate \( 45\% \text{ of } 800 \): \[ 45\% \text{ of } 800 = \frac{45}{100} \times 800 = 360 \] ### Step 4: Substitute back into the equation Now substitute this value back into the equation: \[ ? + 650 = 420 + 360 + 220 \] ### Step 5: Calculate the right side Now, let's calculate the right side of the equation: \[ 420 + 360 + 220 = 1000 \] ### Step 6: Set up the equation for ? Now we have: \[ ? + 650 = 1000 \] ### Step 7: Solve for ? To find the value of ?, we subtract 650 from both sides: \[ ? = 1000 - 650 \] \[ ? = 350 \] Thus, the value of the question mark (?) is **350**.
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