Question

Archie, Evelyn and Jacob are playing a game involving counters. The total number of counters stays the same throughout the game. At the start of the game, the ratio of Archie's counters to Evelyn's counters to Jacob's counters is 7:5:6. At the end of the game, this ratio is 4:3:5. Archie ends the game with 12 counters. How many counters did Archie start the game with?

Answer 1

Explanation:

archie has '4 parts' of the total parts

so 4 parts = 12 counters

to get 1 part we do 12/4 which is 3

3x7=21, so as he started with 7 parts, he started with 21 counters