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Day1 + Day6 = Day2 + Day5 = Day3 + Day4 = Day1 + Day1 + 20

The sum of these three pairs is all six days = 150, so each pair is 50.

So 2*Day1 + 20 = 50 which gives Day1 = 15

Answer: 15, 19, 23, 27, 31 and 35.

The approach shown works, but is not what most teachers at this level would be looking for. This is another option:

Day 1 = X

Day 2 = X + 4

Day 3 = X + 8

Day 4 = X + 12

Day 5 = X + 16

Day 6 = X + 20

150 = 6X + 60

150-60 = 6X

90 = 6X

15 = X

Day 1 = 15

Day 2 = 19

Day 3 = 23

Day 4 = 27

Day 5 = 31

Day 6 = 35

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Q: How many pies would a person eat each day if in 6 days they ate 150 and on each of the days they ate 4 more than the previous day?
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