SOLUTION: you have total of 51 coins in your pocket. you only have quarters and dimes. the total value is $7.50. how many quarters and how many dimes do you have

Question 931739: you have total of 51 coins in your pocket. you only have quarters and dimes. the total value is $7.50. how many quarters and how many dimes do you have
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = dimes
y = quarters
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x + y = 51
10x + 25y = 750
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put the system of linear equations into standard form
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x + y = 51
10x + 25y = 750
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = dimes = 35
y = quarters = 16
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now by substitution:
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x + y = 51
y = 51 - x
10x + 25y = 750
10x + 25(51 - x) = 750
10x + 25*51 - 25x = 750
-15x = 750 - 25*51
x = (750 - 25*51)/-15
x = 35
y = 51 - x
y = 51 - 35
y = 16
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solution by substitution:
x = dimes = 35
y = quarters = 16
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