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Ahmed, Behnaz and Carmen each have some money.
Ahmed has 20% more money than Behnaz.
Carmen has (7)/(8) of the amount of money that Behnaz has.
Carmen has 31.50 euros.
Work out how much money Ahmed has.

Ahmed, Behnaz and Carmen each have some money.\newlineAhmed has 20% 20 \% more money than Behnaz.\newlineCarmen has 78 \frac{7}{8} of the amount of money that Behnaz has.\newlineCarmen has 3131.5050 euros.\newlineWork out how much money Ahmed has.

Full solution

Q. Ahmed, Behnaz and Carmen each have some money.\newlineAhmed has 20% 20 \% more money than Behnaz.\newlineCarmen has 78 \frac{7}{8} of the amount of money that Behnaz has.\newlineCarmen has 3131.5050 euros.\newlineWork out how much money Ahmed has.
  1. Calculate Behnaz's Amount: Carmen has 31.5031.50 euros, which is 78\frac{7}{8} of what Behnaz has. To find out how much money Behnaz has, we divide Carmen's amount by 78\frac{7}{8}.\newlineCalculation: Behnaz's amount = Carmen's amount / (78)\left(\frac{7}{8}\right)\newlineBehnaz's amount = 31.50/(78)31.50 / \left(\frac{7}{8}\right)\newlineBehnaz's amount = 31.50×(87)31.50 \times \left(\frac{8}{7}\right)\newlineBehnaz's amount = 31.50×8/731.50 \times 8 / 7\newlineBehnaz's amount = 252/7252 / 7\newlineBehnaz's amount = 3636 euros
  2. Calculate Additional Amount for Ahmed: Ahmed has 20%20\% more money than Behnaz. To calculate how much more money this is, we convert the percentage to a decimal and multiply it by Behnaz's amount.\newlineCalculation: Additional amount Ahmed has = 20%20\% of Behnaz's amount\newlineAdditional amount Ahmed has = 0.20×0.20 \times Behnaz's amount\newlineAdditional amount Ahmed has = 0.20×360.20 \times 36\newlineAdditional amount Ahmed has = 7.27.2 euros
  3. Calculate Ahmed's Amount: To find out how much money Ahmed has, we add the additional amount to Behnaz's amount.\newlineCalculation: Ahmed's amount = Behnaz's amount + Additional amount Ahmed has\newlineAhmed's amount = 36+7.236 + 7.2\newlineAhmed's amount = 43.243.2 euros

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