Question

It takes 1/2 cups of sugar to make 3/8 gallons of sweet tea. If the recipe is for 1 gallon of sweat tea, how much sugar is needed to make triple the recipe?
A) 2 cups of sugar
B) 3 cups of sugar
C) 4 cups of sugar
D) 6 cups of sugar

Answer 1

Option C

4 cups of sugar is needed

Solution:

Given that It takes 1/2 cups of sugar to make 3/8 gallons of sweet tea

cups of sugar = $\frac{1}{2}$

gallons of sweet tea = $\frac{3}{8}$

If the recipe is for 1 gallon of sweat tea, then the cups of sugar needed is given as:

$\frac{3}{8} \text{ gallons of sweet tea } = \frac{1}{2} \text{ cups of sugar }$

$1 \text{ gallon of tea } = x \text{ cups of sugar }$

On cross-multiplying we get,

$1 \times \frac{1}{2} = x \times \frac{3}{8}\\\\x = \frac{1}{2} \times \frac{8}{3}\\\\x = \frac{4}{3}$

So to make triple the receipe, quantity of sugar needed is:

so the receipe is for 3 gallon of sweet tea, then sugar needed is:

$\rightarrow \frac{4}{3} \times 3 = 4$

Thus 4 cups of sugar is needed

Answer 2

Answer:

its c.4

Step-by-step explanation: