Question 522470
n = number of nickels
5n = value of the nickels in cents
d = number of dimes
10d = value of the dimes in cents
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5n + 10d = 205 cents
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n + d = 28
so
n = 28-d
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substitute
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5(28-d) +10d = 205
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140 -5d + 10d = 205
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5d = 65
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d = 13
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n = 28-d = 28-13 = 15
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Check the values to be sure this is the answer:
5n = 5(15) = 75
10d = 10(13) = 130
75+130=205
Correct.
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Answer: 15 nickels and 13 dimes.
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Done.