Question 987844: Eric has some quarters, x, and nickels, y in his pocket. He has 8 more nickels than quarters. The total value is $1.00. Write two equations that could be used to solve the system. Solve for Y and Graph.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Eric has some quarters, x, and nickels, y in his pocket.
He has 8 more nickels than quarters.
The total value is $1.00.
Write two equations that could be used to solve the system. Solve for Y and Graph.
:
equations for the given statements
:
"He has 8 more nickels than quarters."
y = x + 8; graph red line
:
" The total value is $1.00."
.25x + .05y = 1.00
multiply by 100 to get rid of the decimals
25x + 5y = 100
convert to slope intercept form, to solve for y
5y = -25x + 100
Divide eq by 5
y = -5x + 20, graph green line
:
solve the system of equations, replace y with (x+8) in the 2nd equaton
x + 8 = -5x + 20
x + 5x = 20 - 8
6x = 12
x = 12/6
x = 2 quarters
then
y = 2 + 8
y = 10 nickels
:
Graph these two equations,
note that it intersects at x=2; y=10, our solution
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