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Question

Answer

  Amount Rachel had Amount Elijah had

Scenario 1

Rachel spent $5.60, Elijah spent $2.80 per day for u days

5.6u + $39.20 2.8u
     

Scenario 2

Rachel spent $2.80, Elijah spent $5.60 per day for days

2.8p + 140 5.6p

Looking at Elijah,

2.8u = 5.6p

u = 2p

 

Now for Rachel,

5.6u + 39.2 = 2.8p + 140

5.6(2p) + 39.2 = 2.8p + 140

11.2p + 39.2 = 2.8p + 140

8.4p = 100.8

p = 12

 

Amount of money Rachel received every month -> 2.8p + 140 = $173.60

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