Question

In a box full of fruits there are oranges, apples, and pears in the ratio of $2:5:6$. What is the total weight of the fruits in the box if it is known that there is $4.8\mathrm{lbs}$ of oranges in the box?

Answer 1

Finding the total weight of fruits

Given, Total weight of oranges is $4.8\mathrm{lbs}$

The ratio of oranges to apples to pears is $2:5:6$

Let the weight of the oranges, apples, and pears be $2x,5x$ and $6x$ respectively.

Equating the weight of the oranges we can write,

$$\begin{gathered} 2\mathrm{x}=4.8 \\ \Rightarrow \mathrm{x}=2.4 \end{gathered}$$

The total weight of the fruits is,

$\begin{array}{rcl}\mathrm{Total}\mathrm{weight}& =& 2\mathrm{x}+5\mathrm{x}+6\mathrm{x}\\ & =& 13\mathrm{x}\\ & =& 13(2.4)\left[\because x=2.4\right]\\ & =& 31.2\mathrm{lbs}\end{array}$

Hence, the total weight of the fruits is $31.2\mathrm{lbs}$.