Question

Singapore math

2/3 beads are red.
1/4 are yellow, the rest blue.
There are 42 more red beads than blue beads. How many beads altogether

Answer 1

The fraction of blue beads is 1 - 2/3 - 1/4 = 1/12

If the total number of beads is t then

red - blue = 42

2t/3 - t/12 = 42

therefore

7t/12 = 42

therefore

t = 12x42/7 = 72