SOLUTION: Jason's bank account contains 30 coins(all nickles or dimes). He has four times as many nickels as dimes. How much money does he have?

Question 230556: Jason's bank account contains 30 coins(all nickles or dimes). He has four times as many nickels as dimes. How much money does he have?
Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
Well first lets assign varables. Let n be the number of nickles and d be the number of dimes. Then from the problem we get the following system of equations:

n+d=30
4d=n

now since n is already solved for in the second equation then we can just substitute that into the first equation and solve for d.

n+d=30
4d+d=30
d = 6

now we can substitute that back into the second equation and find n.

4d=n
4(6)=n
24=n

so we know that Jason has 24 nickles and 6 dimes for a total of $0.6+$1.20 = $1.80.
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