Question
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In 2011, the following question and expression appeared on boxes of a particular brand of chocolate. On average, how many mini-marshmallows are in one serving? \( 3+4 \times 4+2-4 \times 8-3+40 \) The box gave 92 as the answer. What is the correct answer? The correct answer is \( \square \). (Simplity your answer.)

Ask by Hall Lindsey. in the United States
Mar 08,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The correct answer is 26.

Solution

1. Write the expression: \[ 3+4 \times 4+2-4 \times 8-3+40 \] 2. Perform the multiplications first: \[ 4 \times 4 = 16,\quad 4 \times 8 = 32 \] So the expression becomes: \[ 3+16+2-32-3+40 \] 3. Now, compute the additions and subtractions from left to right: \[ 3+16=19 \] \[ 19+2=21 \] \[ 21-32=-11 \] \[ -11-3=-14 \] \[ -14+40=26 \] 4. Therefore, the correct answer is: \[ \boxed{26} \]

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The Deep Dive

Let's correctly evaluate the expression \( 3 + 4 \times 4 + 2 - 4 \times 8 - 3 + 40 \) using the order of operations (PEMDAS/BODMAS). 1. Calculate the multiplication first: - \( 4 \times 4 = 16 \) - \( 4 \times 8 = 32 \) 2. Substitute the results back into the expression: - \( 3 + 16 + 2 - 32 - 3 + 40 \) 3. Now, perform the operations from left to right: - \( 3 + 16 = 19 \) - \( 19 + 2 = 21 \) - \( 21 - 32 = -11 \) - \( -11 - 3 = -14 \) - \( -14 + 40 = 26 \) Thus, the correct answer is \( 26 \).

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