SOLUTION: Please help with this problem. Tawny found \$1.95 in quarters and dimes in the chair cushions. There were four times as many dimes as quarters. How many dimes and quarters did she

Algebra ->  Algebra  -> Equations -> SOLUTION: Please help with this problem. Tawny found \$1.95 in quarters and dimes in the chair cushions. There were four times as many dimes as quarters. How many dimes and quarters did she       Log On

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 Click here to see ALL problems on Equations Question 619240: Please help with this problem. Tawny found \$1.95 in quarters and dimes in the chair cushions. There were four times as many dimes as quarters. How many dimes and quarters did she find? This is what I have so far: 0.20d+0.75d+100=1.95 0.95*4=3.8 This is where i got lost. Thanks for your help, JaniceAnswer by Theo(3464)   (Show Source): You can put this solution on YOUR website!let d = number of dimes let q = number of quarters .25 * q is the value of q number of quarters .10 * d is the value of d number of dimes. .25 * q + .10 * d = 1.95 d = 4 * q .25 * q + .10 * 4 * q = 1.95 .25 * q + .4 * q = 1.95 .65 * q = 1.95 q = 3 d = 4 * q = 4 * 3 = 12 .25 * q = .25 * 3 = .75 .10 * d = .10 * 12 = 1.20 1.20 + .75 = 1.95 number of quarters is 3 and number of dimes is 12 key to solving the problem is recognizing that d = 4*q and then substituting for d to make the unknown variables q only. solve for q and then solve for d after you have the value for q.