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# math problem

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Zander, Ailey and Liz are partners in a babysitting business. Zander and Ailey, the elder two, charge 7/4 times as much as Liz, the youngest. Each of the partners in the business puts 8% of their earnings into the business for expenses. Last week, Ailey worked 2 hours and earned 47.00 before putting any money into the business. Zander worked 3 hours and Liz worked 10 hours. How much money went into the business last week? Express your answer in dollars to the nearest cent.

Jul 8, 2022

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Liz's babysitting rate is common to both Zander and Ailey. If we assign her charge as $$x$$ we can represent both Zander and Ailey's rates as $$\frac{7}{4}x$$. We know that Ailey worked $$2$$ hours to earn $$47$$ dollars. Do you think we can find $$x$$, which is Liz's rate now? After that, can you find Zander and Ailey's rates?

You should be able to solve the problem now.

Jul 8, 2022