Question 668646
Establish variables
x = quarters
y = dimes
z = nickels
...
Given
.25x + .1y + .05z = 5
z = 2x
y = x - 4
...
Solve for x first
.25x + .1(x-4) + .05(2x) = 5
Distribute
.25x + .1x - .4 + .1x = 5
Combine like terms
.45x = 5 + .4
.45x = 5.4
{{{highlight_green(x = 12)}}} quarters
...
z = 2x = 2(12) = {{{highlight_green(z = 24)}}} nickels
...
y = 12-4 = {{{highlight_green(y = 8)}}} dimes
...
Check {{{cartoon(
.25(12) + .1(8) + .05(24),
3 + .8 + 1.2,
5)}}}
.....................
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