angel has a total of 97 dimes and nickels. if the total value of the coins is $8.35, how many dimes does he have

Answers

Answer 1
Answer: dime=10 cents
nickles=5 cents

835=10d+5n
divide both sides by 5
167=2d+n

total number of coins is 97
97=d+n

we have

2d+n=167
d+n=97
multiply 2nd equation by -1 and add them

2d+n=167
-d-n=97 +
1d+0n=70

d=70

sub back

d+n=97
70+n=97
minus 70 both sides
n=27

70 dimes
Answer 2
Answer: He would have $1.35 left

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