SOLUTION: Why is the answer to this question equal 25q + 10q + 30 + 5q + 10 = 200:
A collection of coins consists of nickels, dimes, and quarters. There are 3 more dimes than quarters and 2
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Question 932150: Why is the answer to this question equal 25q + 10q + 30 + 5q + 10 = 200:
A collection of coins consists of nickels, dimes, and quarters. There are 3 more dimes than quarters and 2 more nickels than quarters. All of the coins together are worth $2.00. If q represents the number of quarters, which of the following equations represents this situation?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = nickels
y = dimes
z = quarters
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y = z + 3
x = z + 2
5x + 10y + 25z = 200
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put the system of linear equations into standard form
---
y - z = 3
x - z = 2
5x + 10y + 25z = 200
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = nickels = 6
y = dimes = 7
z = quarters = 4
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note:
---
y = z + 3
x = z + 2
5x + 10y + 25z = 200
---
5(z + 2) + 10(z + 3) + 25z = 200
5z + 10 + 10z + 30 + 25z = 200
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substitute q for z:
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5q + 10 + 10q + 30 + 25q = 200
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rearrange:
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25q + 10q + 30 + 5q + 10 = 200
---
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