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14. Jason was given his allowance on Sunday. On Monday he bought a book for \( \$ 2.95 \). On Tuesday Kurt paid Jason the \( \$ 3.50 \) he owed him. Jason now has \( \$ 6.05 \). How much was his allowance?

Ask by Powell Floyd. in the United States
Feb 20,2025

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Jason's allowance was \$5.50.

Solución

Let's denote Jason's allowance as \( A \). On Sunday, Jason was given his allowance, so he had \( A \) dollars. On Monday, Jason bought a book for \( \$2.95 \), so he had \( A - 2.95 \) dollars left. On Tuesday, Kurt paid Jason \( \$3.50 \) that he owed him, so Jason now had \( (A - 2.95) + 3.50 \) dollars. We are given that Jason now has \( \$6.05 \), so we can set up the equation: \[ (A - 2.95) + 3.50 = 6.05 \] Solving this equation will give us the value of Jason's allowance. Solve the equation by following steps: - step0: Solve for \(A\): \(\left(A-2.95\right)+3.5=6.05\) - step1: Simplify: \(A+0.55=6.05\) - step2: Move the constant to the right side: \(A=6.05-0.55\) - step3: Subtract the numbers: \(A=5.5\) The solution to the equation is \( A = 5.5 \) or \( A = \frac{11}{2} \) or \( A = 5\frac{1}{2} \). Therefore, Jason's allowance was \( \$5.50 \).

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Let’s break it down step by step! On Sunday, Jason received his allowance, which we'll call "A." 1. **He bought a book for $2.95 on Monday:** So now, his money is \( A - 2.95 \). 2. **On Tuesday, Kurt paid him $3.50:** Now, his total is \( A - 2.95 + 3.50 \). 3. **We know that at this point, Jason has $6.05:** We can set up the equation: \( A - 2.95 + 3.50 = 6.05 \). Now, simplify the equation: 1. Combine the numbers: \( A + 0.55 = 6.05 \) 2. Subtract 0.55 from both sides: \( A = 6.05 - 0.55 \) 3. Hence, \( A = 5.50 \). So, Jason's allowance was **$5.50**!

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