Connie cracks open a piggy bank and finds $3.70 (370 cents), all in nickels and dimes. There are 7 more dimes than nickels. How many nickels does Connie have?

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Answer 1 · 2016-05-11T18:18:27

Connie has $20$ $20$ nickles.

If we mark the number of nickles by $n$ $n$ , then the number of dimes can be witten as $n + 7$ $n+7$ . The total amount $3.70 leads to an equation:

$5 n + 10 (n + 7) = 370$ $5n+10(n+7)=370$

$5 n + 10 n + 70 = 370$ $5n+10n+70=370$

$15 n + 70 = 370$ $15n+70=370$

$15 n = 300$ $15n=300$

$n = 20$ $n=20$

The answer is : Connie has $20$ $20$ nickles (and $27$ $27$ dimes).