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Mr Suen saved $620 from his salary. He gave half of the remaining to his 4 children equally and contributed the rest to charity. If each child gets $m, how much was his salary?

Question

Mr Suen saved 620fromhissalary.Hegavehalfoftheremainingtohis4childrenequallyandcontributedtheresttocharity.Ifeachchildgets620 from his salary. He gave half of the remaining to his 4 children equally and contributed the rest to charity. If each child gets m, how much was his salary?

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Solution

Step 1: Let's denote Mr. Suen's salary as S. According to the problem, Mr. Suen saved 620fromhissalary.So,theremainingamountofhissalaryisS620 from his salary. So, the remaining amount of his salary is S - 620.

Step 2: Mr. Suen gave half of the remaining salary to his 4 children equally. So, each child gets (S - 620)/2/4=(S620) / 2 / 4 = (S - 620) / 8. According to the problem, each child gets m.So,wehavetheequation(Sm. So, we have the equation (S - 620) / 8 = $m.

Step 3: To find out Mr. Suen's salary, we need to solve the equation for S. Multiply both sides of the equation by 8, we get S - 620=8m.Then,add620 = 8m. Then, add 620 to both sides of the equation, we get S = 8m + $620.

So, Mr. Suen's salary was 8m + $620.

This problem has been solved

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