Bill was paid R10 500 to build a cupboard for his neighbour. He gave a \( \frac{1}{5} \) of this money to his brother to pay back a debt. If a \( \frac{1}{6} \) of the paid amount was used to pay for supplies and \( \frac{1}{6} \) of the paid amount was used to pay his helper, how much of the R10 500 did Bill have left? [2] SELECT THE CORRECT ANSWER
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First, let's break down the amounts Bill spent. He gave \( \frac{1}{5} \) of R10,500 to his brother, which amounts to R2,100 (since \( R10,500 \times \frac{1}{5} = R2,100 \)). For supplies, he used \( \frac{1}{6} \) of R10,500, totaling R1,750 (because \( R10,500 \times \frac{1}{6} = R1,750 \)). The same applies to the amount he paid his helper, another R1,750. Now, adding up these expenses: R2,100 (brother) + R1,750 (supplies) + R1,750 (helper) = R5,600. Finally, to find out how much Bill has left, we subtract this total from the initial payment: R10,500 - R5,600 = R4,900. So, Bill has R4,900 left.