Thornton Wyatt
11/19/2023 · Middle School

18. For every book Tony sells, he gets \( \$ 1.75 \) as commission. He gets additional \( \$ 1.50 \) for every 8 books sold. How many hooki did Tony ent he eamed \( \$ 50 \) in commission? \( \$ 1.75 \times 8=\$ 1200 \)

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To find out how many books Tony sold to earn $50 in commission, we can set up an equation based on the given information. Let's denote the number of books Tony sold as \( x \). From the given information: - Tony earns $1.75 for every book sold. - Tony earns an additional $1.50 for every 8 books sold. We can express the total commission earned by Tony as: \[ 1.75x + 1.50 \times \left( \frac{x}{8} \right) = 50 \] Simplifying the equation: \[ 1.75x + 0.1875x = 50 \] \[ 1.9375x = 50 \] \[ x = \frac{50}{1.9375} \] Now, we can calculate the value of \( x \) to find out how many books Tony sold to earn $50 in commission. Calculate the value by following steps: - step0: Calculate: \(\frac{50}{1.9375}\) - step1: Convert the expressions: \(\frac{50}{\frac{31}{16}}\) - step2: Multiply by the reciprocal: \(50\times \frac{16}{31}\) - step3: Multiply: \(\frac{50\times 16}{31}\) - step4: Multiply: \(\frac{800}{31}\) Tony sold approximately 25.81 books to earn $50 in commission. Since Tony cannot sell a fraction of a book, we can round this to the nearest whole number. Therefore, Tony sold 26 books to earn $50 in commission.

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Tony sold 26 books to earn $50 in commission.
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