Question

Theresa has $12 in nickels amd quarters if she has the same number of each kind of coin how many nickels and quarters does she have?

Answer 1

n=# of nickels

q=# of quarters

$12 is 1200 cents

5n+25q=1200

n=q

substitute q for n or n for q

5q+25q=1200

30q=1200

q=1200/30

q=40 quarters and therefore n=40 nickels

40 quarters is $10 and 40 nickels is $2, therefore you have $12

Hope this helps.