(TWO PART QUESTION - please answer both)

A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.

a. How much sugar would be needed for 1 cup of flour?

b. Write an equation to represent the relationship between s ; sugar, and f ; flour.

Hey there.

Considering our ratio from fruit to sugar is 2:3, this means we need to make a proportion. I will set this up below;

2:3 = 8:x; x is a variable substitute for our missing sugar value. Let's try to see if 2 divides into 8.
8 / 2 = 4; this means our scale factor of our ratio is 4x larger than the current value, so multiply 2 and 3 by 4 to solve for sugar.

2:3;

2 x 4 = 8; 8:x
3 x 4 = 12; 8:12.

12kg is the missing sugar value in our proportion; therefore, 12kg of sugar is used when 8kg of fruit is used.

I hope this helps!