Express the given information as an algebraic equation and simplify: Max has $3.25 in change
Express the given information as an algebraic equation and simplify: Max has $3.25 in change. He has 5 more dimes than quarters but twice as many nicckles as dimes.
Express the given information as an algebraic equation and simplify: Max has $3.25 in change. He has 5 more dimes than quarters but twice as many nicckles as dimes.
.
Let x = number of quarters
then
x+5 = number of dimes
2(x+5) = number of nickles
.
.25x + .10(x+5) + .05(2(x+5)) = 3.25
.25x + .10(x+5) + .05(2x+10) = 3.25
.25x + .10x+.50 + .10x+5 = 3.25
.45x + .50 + 5 = 3.25
.45x + .55 = 3.25
.45x = 2.70
x = 6 (number of quarters)
.
number of dimes:
x+5 = 6+5 = 11
.
number of nickles:
2(x+5) = 2(6+5) = 2(11) = 22