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Mr Tan saved $716 from his salary. He gave half of the remaining to his 4 children equally and contributed the rest to charity. Each child received $m. How much was his salary?

Question

Mr Tan saved 716fromhissalary.Hegavehalfoftheremainingtohis4childrenequallyandcontributedtheresttocharity.Eachchildreceived716 from his salary. He gave half of the remaining to his 4 children equally and contributed the rest to charity. Each child received m. How much was his salary?

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Solution

Let's break down the problem step by step:

  1. Let Mr. Tan's total salary be S S .

  2. Mr. Tan saved $716 from his salary. Therefore, the remaining amount after saving is S716 S - 716 .

  3. He gave half of the remaining amount to his 4 children equally. So, the amount given to the children is S7162 \frac{S - 716}{2} .

  4. Each child received $m. Since there are 4 children, the total amount given to the children is 4m 4m .

  5. Therefore, we can set up the equation: S7162=4m \frac{S - 716}{2} = 4m

  6. To find S S , we need to solve the equation for S S : S716=8m S - 716 = 8m S=8m+716 S = 8m + 716

So, Mr. Tan's salary was 8m+716 8m + 716 dollars.

This problem has been solved

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