SOLUTION: Carly is baking three cakes. The second cake requires 1/2 cup more flour than the first cake. The third cake requires twice the amount of flour as the first cake. The two puns bag

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Carly is baking three cakes. The second cake requires 1/2 cup more flour than the first cake. The third cake requires twice the amount of flour as the first cake. The two puns bag       Log On


   

Question 1001108: Carly is baking three cakes. The second cake requires 1/2 cup more flour than the first cake. The third cake requires twice the amount of flour as the first cake. The two puns bag of flour she bought has 8 and 1/2 cup exactly the amount she needs. How much flour is needed for each cake?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, number of cups of flour for cake1.
cake2 uses x%2B1%2F2 cups flour.
cake3 uses 2x cups of flour.

The number of cups of flour is x%2B%28x%2B1%2F2%29%2B2x, and this number of cups is the 8%261%2F2 cups of flour bought in the two-pound (puns?) bag of flour.


x%2B%28x%2B1%2F2%29%2B2x=8%261%2F2

4x%2B1%2F2=8%261%2F2

8x%2B1=17

8x=16

highlight%28x=2%29, the number of cups flour used for the cake1.