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4.1.5 Johnson pays each masseuse R1 000 for the weekend and R50 per massage. He needs to rent a room at the Cape Town stadium to perform these massages, which costs R4 800 per day. Calculate his total expenses and express the total income to total expenses as a ratio in unit form. [6) [20

Ask by Alexander Lindsey. in South Africa
Mar 16,2025

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Total expenses are calculated as \( (n \times 1000) + (d \times 4800) \). The ratio of total income to total expenses is \( \frac{(n \times m \times 50)}{(n \times 1000) + (d \times 4800)} \).

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To calculate Johnson's total expenses, we need to consider the costs associated with hiring masseuses and renting the room. If he hires, for instance, 4 masseuses for the weekend, this will cost R1 000 each, totaling R4 000. Additionally, if each masseuse performs 10 massages that weekend, that's 40 massages at R50 each, amounting to R2 000. Finally, with the room rental of R4 800 for two days, that adds another R9 800 to the total. So, his total expenses are R4 000 + R2 000 + R9 600 = R15 600. Now, let's express the total income to total expenses as a ratio. If Johnson charges R200 per massage, for 40 massages, he earns R8 000. So, the income of R8 000 to expenses of R15 600 translates to a ratio of 8,000:15,600. Simplifying this, we divide both by 8,000 to get a neat 1:1.95 ratio, revealing that for every R1 earned, he spends nearly R2.

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