Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
2 answers:
<span>Let x = be the number of dimes and y = number of quarters. Since the total number of coins is 100, x + y = 100. Since the total is cent value is 19.75, comprised of .10 for dimes and .25 for quarters, we have .10x + .25y = 19.75. This is just a system of equations. Solve one of the dozen ways that work for solving systems of linear equations. Using substitution: x = 100 - y Plug this into the other equation .10 (100 - y) + .25 y = 19.75 10 - .10 y + .25 y = 19.75 10 + .15y = 19.75 .15 y = 9.75 y = 65 So there are 65 quarters. Since x + y = 100, there must be 35 dimes.</span><span>Hope This Helps</span>
D = no. of dimes q = no. of quarters $total equation .10d + .25q = 19.75 No. of coins equation d + q = 100 d = (100-q) Replace d with (100-q) in the $total equation .10(100-q) + .25q = 19.75 10 - .10q + .25q = 19.75 10.15 q = 9.75 q = q = 65 quarters 100 - 65 = 35 dimes.
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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