Chapter 7, Problem 19CT

To determine

To find the quantity of grape juice to be added to cranberry juice.

Answer to Problem 19CT

  $2\frac{2}{3}$ litres grape juice should be added in cranberry juice to make $16\%$ grape juice.

Explanation of Solution

Given information:

Quantity of cranberry juice= $14$ litres

Let the grape juice to be added in cranberry juice be $x$:

  $\begin{array}{l}\frac{x}{14+x}=\frac{16}{100}\\ \\ 100x=224+16x\\ \\ 100x-16x=224\\ \\ 84x=224\\ \\ x=\frac{224}{84}\\ \\ \boxed{x=2\frac{2}{3}litres}\end{array}$

  $2\frac{2}{3}$ litres grape juice should be added in cranberry juice to make $16\%$ grape juice.