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Mathematics - Session 1 3. Stefanie bought a package of pencils for \( \$ 1.75 \) and some erasers that cost \( \$ 0.25 \) each. She paid a total of \( \$ 4.25 \) for these items, before tax. Exactly how many erasers did Stefanie buy? Enter your answer in the box. \& show work

Ask by Chang Zimmerman. in the United States
Mar 19,2025

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Stefanie bought 10 erasers.

Solución

To find out how many erasers Stefanie bought, we can set up an equation based on the information given: Let \( x \) be the number of erasers Stefanie bought. The total cost of the pencils is \( \$1.75 \). The cost of each eraser is \( \$0.25 \). The total cost of the erasers is \( \$0.25x \). The total cost of the pencils and erasers is \( \$4.25 \). We can set up the equation as follows: \[ 1.75 + 0.25x = 4.25 \] Now, we can solve for \( x \) to find out how many erasers Stefanie bought. Solve the equation by following steps: - step0: Solve for \(x\): \(1.75+0.25x=4.25\) - step1: Move the constant to the right side: \(0.25x=4.25-1.75\) - step2: Subtract the numbers: \(0.25x=2.5\) - step3: Divide both sides: \(\frac{0.25x}{0.25}=\frac{2.5}{0.25}\) - step4: Divide the numbers: \(x=10\) Stefanie bought 10 erasers.

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To find out how many erasers Stefanie bought, we can set up an equation based on the total cost. Let \( x \) represent the number of erasers Stefanie bought. The cost of the erasers is \( 0.25x \). The total cost equation is: \[ 1.75 + 0.25x = 4.25 \] Now, we can isolate \( x \) by subtracting 1.75 from both sides: \[ 0.25x = 4.25 - 1.75 \] \[ 0.25x = 2.50 \] To find \( x \), we divide both sides by 0.25: \[ x = \frac{2.50}{0.25} \] \[ x = 10 \] So, Stefanie bought **10 erasers**. Ensuring clarity: 1. Total cost of pencils: \( \$1.75 \) 2. Total cost of erasers: \( 10 \times 0.25 = \$2.50 \) 3. Total amount paid: \( \$1.75 + \$2.50 = \$4.25 \), which confirms the calculations are correct.

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