SOLUTION: Jackie has 24 dimes and 13 quarters. Pilar has the same amount of money as Jackie, but she has only nickels and quarters. If Pilar has 53 coins, how many nickels and how many quart

Question 945650: Jackie has 24 dimes and 13 quarters. Pilar has the same amount of money as Jackie, but she has only nickels and quarters. If Pilar has 53 coins, how many nickels and how many quarter does she have?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
z = jackie's dollar amount
z = 24*0.10 + 13*0.25
z = 5.65
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x = pilar's number of nickels
y = pilar's number of quarters
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x + y = 53
0.05x + 0.25y = z
0.05x + 0.25y = 5.65
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put the system of linear equations into standard form
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x + y = 53
0.05x + 0.25y = 5.65
---
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solution:
x = 38
y = 15
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