SOLUTION: Alexandra purchases 2 doughnuts and 3 cookies at a doughnut shop and is charged $3.30. Briana purchases 5 doughnuts and 2 cookies at the same shop for $4.95. All the doughnuts have

Algebra ->  Equations -> SOLUTION: Alexandra purchases 2 doughnuts and 3 cookies at a doughnut shop and is charged $3.30. Briana purchases 5 doughnuts and 2 cookies at the same shop for $4.95. All the doughnuts have      Log On


   



Question 676705: Alexandra purchases 2 doughnuts and 3 cookies at a doughnut shop and is charged $3.30. Briana purchases 5 doughnuts and 2 cookies at the same shop for $4.95. All the doughnuts have the same price, and all the cookies have the same price. What is the cost, in dollars, of each doughnut?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
2D+3C=3.30 MULTIPLY BY -2.5 & ADD.
5D+2C=4.95
-5D+-7.50C=-8.25
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-5.5C=-3.30
C=-3.30/-5.5
C=$.60 FOR EACH COOKIE.
2D+3*.60=3.30
2D+1.80=3.30
2D=3.30-1.80
2D=1.50
D=1.50/2
D=$.75 FOR EACH DONUT.
PROOF:
5*.75+2*.60=4.95
3.75+1.20=4.95
4.95=4.95