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3241004551 [841]
2 years ago
14

Harper had $35 in her purse and found x dollars more on the couch. Cole had $41 in his wallet and spent twice as much money as H

arper found on the couch. How much money did Harper find if both children had the same total amount of money?
Mathematics
1 answer:
yanalaym [24]2 years ago
8 0

Answer (x is the money Harper found):

  1. Equation: (35 + x) = (41 - 2x)
  2. Solution: x = 2

I hope this helps!

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Mikes movie Rentals Charge $3.00 for each rental plus $0.50 for each additional day. Reed's Rentals Charge $1.50 each rental plu
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Answer:

2

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

So, Mikes Movie Rentals cost equations is:

CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

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For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X

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Dividing both sides by 0.75:

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So, for 2 additional days bith charges are equal.  

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