Let's say the amount of flour needed for the first cake is x cups.
The second cake requires 1 1/2 cups more flour than the first cake, so it needs x + 1 1/2 cups.
The third cake requires four times the amount of flour as the first cake, so it needs 4x cups.
The total amount of flour needed is x + (x + 1 1/2) + 4x = 31 1/2 cups.
Combining like terms, we can simplify the equation to 6x + 1 1/2 = 31 1/2.
Subtracting 1 1/2 from both sides, we get 6x = 30.
Dividing both sides by 6, we find that x = 5.
Therefore, the first cake requires 5 cups of flour, the second cake requires 5 + 1 1/2 = 6 1/2 cups of flour, and the third cake requires 4 * 5 = <<4*5=20>>20 cups of flour.
Carly is making three cakes for the bake sale. The second cake requires
1 1/2 cup(s) more flour than the first cake. The third cake requires four times the amount of flour as the first cake. The bag of flour she bought has
31 1/2 cups--exactly the amount she needs. How much flour is needed for each cake? Write an equation then solve.
1 answer
1 answer