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 = [tex]\frac{1}{2}[/tex]
gallons of sweet tea = [tex]\frac{3}{8}[/tex]
If the recipe is for 1 gallon of sweat tea, then the cups of sugar needed is given as:
[tex]\frac{3}{8} \text{ gallons of sweet tea } = \frac{1}{2} \text{ cups of sugar }[/tex]
[tex]1 \text{ gallon of tea } = x \text{ cups of sugar }[/tex]
On cross-multiplying we get,
[tex]1 \times \frac{1}{2} = x \times \frac{3}{8}\\\\x = \frac{1}{2} \times \frac{8}{3}\\\\x = \frac{4}{3}[/tex]
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:
[tex]\rightarrow \frac{4}{3} \times 3 = 4[/tex]
Thus 4 cups of sugar is needed
