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2 variables with 2 equations. A simultaneous equation problem.

d+ n = 14

10d + 5n = 95

Multiply the first equation by -5

-5d + -5n = -70

10d + 5n = 95

add together

5d = 25

d = 5 ◄

plug that in the first equation to find n

5 + n = 14

n = 9 ◄

check

5 dimes plus 9 nickles is 50c+45c=95c ■

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Q: A piggy bank has only nickels and dimes in it there are 14 coins worth 0.95. How many nickels and dimes are in the bank?
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