Amanda is making pastry dough. She mixes of a cup of flour and of a cup of sugar. If she wants to mix flour and sugar in the same ratio to make 16 cups of pastry dough, how many cups of flour and sugar will she need?
A.
10 cups of flour and 6 cups of sugar
B.
11 cups of flour and 5 cups of sugar
C.
12 cups of flour and 4 cups of sugar
D.
9 cups of flour and 7 cups of sugar
The ratio of flour to sugar is 2:3.
To make 16 cups of pastry dough, we need to find the equivalent ratios.
If we set up a proportion:
(flour / sugar) = (10 / 15) = (2 / 3)
We can multiply both sides of the proportion by 8 to find the equivalent ratio for 16 cups:
(10 / 15) * 8 = (2 / 3) * 8
This simplifies to:
(80 / 120) = (16 / 24)
So, Amanda will need 16 cups of flour and 24 cups of sugar to maintain the same ratio.
However, none of the given answer choices match this exact ratio.
The closest option would be:
D. 9 cups of flour and 7 cups of sugar.