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23-12-2016
Mathematics

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Diane has $1.20 in dimes and nickels. she has a total of 13 coins. how many of each kind does she have?

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apologiabiology apologiabiology

23-12-2016

yeah

120cents

10d+5n=120
divide both sides by 5
2d+n=24

13 coins
n+d=13

we have

2d+n=24 and
d+n=13
muliptly 2nd equation by -1 and add to first

2d+n=24
-d-n=-13 +
d+0n=11

d=11
d+n=13
11+n=13
n=2

11 dimes
2 nickles

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