Chapter 8, Problem 24RP

To determine

To calculate:The sum of the smallest part and the largest part of a given ratio.

Answer to Problem 24RP

The sum of the smallest part and the largest part is 52

Explanation of Solution

Given information

The 78 is divided in the ratio 3:5:7

Formula used:

Each value = $\frac{\text{Part }}{\text{Total ratio}}$

Calculation:

Let parts be 3x, 5x and 7 x

Sum of the parts = 3x + 5x + 7x = 15 x

As per question,

15 x = 78

Or x = $\frac{78}{15}=5.2$

Required sum = $3x+7x=10x$

At $x=5.2$ , we have

Required sum

  $=10x=10\times 5.2=52$