Question

One fruit salad recipe requires$\frac{1}{2}$cup of sugar. Another recipe for the same fruit salad requires$2$tablespoons of sugar. If $1$tablespoon is equivalent to$\frac{1}{16}$cup, how much more sugar does the first recipe require?

Answer 1

Step 1: Finding number of cup of sugar required for another fruit salad:

Sugar required for fruit salad = $\frac{1}{2}\text{cup}$

Sugar required for another fruit salad = $2\text{tablespoon}$

According to the question, $\text{1 tablespoon =}\frac{1}{16}\text{cup}$

Number of cup in $2\text{tablespoon = 2×}\frac{1}{16}\text{=}\frac{1}{8}\text{cup}$

Therefore, another fruit salad need of$\frac{1}{8}\text{cup}$of sugar.

Step 2: Finding the difference of cup of sugar :

Difference of cup of sugar needed for both fruit salad = $\frac{1}{2}-\frac{1}{8}$

$$\begin{gathered} =\frac{4}{8}-\frac{1}{8} \\ =\frac{4-1}{8} \\ =\frac{3}{8} \end{gathered}$$

Hence,$\frac{3}{8}$cup more sugar required by first fruit salad.