Question

A recipe for raspberry jelly calls for 5 cups of raspberry juice and $2\dfrac{1}{2}$ cups of sugar.
Find the amount of sugar needed for 6 cups of the juice?

Answer 1

Hint: We have given the number of sugar cups required for the recipe with 5 cups of the raspberry juice, from this data we will find the number of sugar cups required for the recipe with 1 cup of the raspberry juice.
Now we can easily find the required number of sugar cups needed for 6 cups of the juice.

Complete step-by-step answer:
Given data: A recipe for raspberry jelly calls for 5 cups of raspberry juice and $2\dfrac{1}{2}$ cups of sugar
We know that number of sugar cups required for the recipe with 5 cups of the rash berry juice $ = 2\dfrac{1}{2}$
 $ = \dfrac{5}{2}$
Therefore, the number of sugar cups required for the recipe with 1 cups of the rash berry juice $ = \dfrac{{\dfrac{5}{2}}}{5}$
Dividing the numerator and the denominator by 5, we get,
 $ = \dfrac{1}{2}$
Therefore, the number of sugar cups required for the recipe with 6 cups of the rash berry juice $ = 6 \times \dfrac{1}{2}$
 $ = 3$
Hence, 3 cups of sugar is needed for 6 cups of the juice.

Note: Some of the students misinterpret this mixed fraction and just do the simple multiplication of the whole number and the fraction, which is wrong and will lead us to a wrong solution to the question.
Some students write this mixed fraction $a\dfrac{b}{c}$ as $a \times \dfrac{b}{c}$ which is wrong and $a\dfrac{b}{c} = \dfrac{{ac + b}}{c} \ne a \times \dfrac{b}{c}$ .