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

To find the ratio of flour to sugar in the pastry dough, we need to add the fractions together: 1/3 + 1/5 = 8/15.

If Amanda wants to make 16 cups of pastry dough with this same ratio, we need to find two numbers that multiply to 16 and have a ratio of 8/15.

The numbers that satisfy these conditions are 10 and 6.

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

The correct answer is C. 10 cups of flour and 6 cups of sugar.