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Rachel and Elijah received a fixed amount of money every month. In the first month, Rachel spent $5.60 and Elijah spent $2.80 per day. Rachel had $39.20 left when Elijah had spent all his money. In the second month, Rachel spent $2.80 per day and Elijah spent $5.60 per day. Rachel had $140 left when Elijah has spent all his money. How much money did Rachel receive every month?

 Jun 13, 2022
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5.60/2.80 = 2 (the number of days in the first scenario is twice that of the second)
5.60 x 2n + 39.20 = 2.80 x n + 140
n = (140 - 39.20)/(5.60 x 2 - 2.80) = 12
12 x 2 x 5.60 + 39.20 = 173.60
or
12 x 2.80 + 140 = 173.60

 Jun 15, 2022

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