Amanda is making pastry dough. She mixes 1/3 of a cup of flour and 1/5 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.
11 cups of flour and 5 cups of sugar
B.
10 cups of flour and 6 cups of sugar
C.
9 cups of flour and 7 cups of sugar
D.
12 cups of flour and 4 cups of sugar

To find out the correct ratio between flour and sugar, we need to find a common denominator for 3 and 5, which is 15.

1/3 cup of flour is equivalent to 5/15 cups of flour.
1/5 cup of sugar is equivalent to 3/15 cups of sugar.

Thus, the ratio of flour to sugar is 5:3.

If she wants to make 16 cups of pastry dough in the same ratio, we would have:
- 5/8 x 16 = 10 cups of flour
- 3/8 x 16 = 6 cups of sugar

Therefore, Amanda will need 10 cups of flour and 6 cups of sugar.

B. 10 cups of flour and 6 cups of sugar.