The ratio of the number of marbles Miko had to the number of marbles Cheko had was 2 : 1.Miko had 48 marbles at first.How many marbles must Miko give to Cheko so thatthe ratio of Miko's marbles to Cheko's marble would become 1 : 5?
Question
The ratio of the number of marbles Miko had to the number of marbles Cheko had was 2 : 1.Miko had 48 marbles at first.How many marbles must Miko give to Cheko so thatthe ratio of Miko's marbles to Cheko's marble would become 1 : 5?
Solution
Step 1: Determine the initial number of marbles Cheko had.
The ratio of Miko's marbles to Cheko's marbles was 2:1. This means that for every 2 marbles Miko had, Cheko had 1. Since Miko had 48 marbles, Cheko had 48/2 = 24 marbles.
Step 2: Determine the final number of marbles Miko and Cheko should have.
The final ratio of Miko's marbles to Cheko's marbles should be 1:5. This means that for every 1 marble Miko has, Cheko should have 5. The total number of marbles (Miko's and Cheko's combined) is 48 (Miko's initial number) + 24 (Cheko's initial number) = 72 marbles.
In the final ratio, the total number of parts is 1 (Miko's part) + 5 (Cheko's part) = 6 parts. Therefore, each part is equal to 72/6 = 12 marbles.
So, Miko should have 112 = 12 marbles and Cheko should have 512 = 60 marbles.
Step 3: Determine the number of marbles Miko should give to Cheko.
Miko initially had 48 marbles and should end up with 12 marbles. Therefore, Miko should give 48 - 12 = 36 marbles to Cheko.
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