Question

David, Malachy and Paul share some sweets in the ratio 5:3:1. David gets 40 more sweets than Paul. How many sweets are there altogether?

Answer 1

Step-by-step explanation:

Let 5x, 3x and x be the shares of David, Malachy and Paul.

According to the given condition:

5x = x + 40

$\therefore \: 5x - x = 40 \\ \therefore \: 4x = 40 \\ \therefore \: x = 10 \\ \\ total \: sweets = 5x + 3x + x \\ = 9x \\ = 9 \times 10 \\ = 90$

Hence, there are total 90 sweets