Mr Ravi bought some boxes of chocolates. Each box contained 12 chocolates. The total number of chocolates Mr Ravi bought was more than 50 but fewer than 100. Mr Ravi ate 7 chocolates and gave the rest equally to each of his 5 children. How many chocolates did each child get? Ans: ___

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Worked solution

5

1. List the possible total number of chocolates based on the multiples of 12 between 50 and 100.

Multiples of 1212 between 5050 and 100100 are:
12×5=6012 \times 5 = 60
12×6=7212 \times 6 = 72
12×7=8412 \times 7 = 84
12×8=9612 \times 8 = 96

2. Determine which multiple leaves a remainder that is divisible by 5 after subtracting 7.

If total is 6060: 60−7=5360 - 7 = 53 (not divisible by 55)
If total is 7272: 72−7=6572 - 7 = 65 (divisible by 55)
If total is 8484: 84−7=7784 - 7 = 77 (not divisible by 55)
If total is 9696: 96−7=8996 - 7 = 89 (not divisible by 55)

So, the total number of chocolates is 7272.

3. Calculate the number of chocolates each child gets.

Number of chocolates for the children = 72−7=6572 - 7 = 65
Number of chocolates each child gets = 65÷5=1365 \div 5 = 13

Answer

1313

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