After Keddy gave Miko 40 jelly beans, Miko had thrice as many jelly beans as Keddy.They had the same amount of jelly beans at first.How many jelly beans did Miko have in the end?
Question
After Keddy gave Miko 40 jelly beans, Miko had thrice as many jelly beans as Keddy.They had the same amount of jelly beans at first.How many jelly beans did Miko have in the end?
Solution
Let's solve this step by step:
Step 1: Let's assume that both Keddy and Miko initially had 'x' jelly beans each.
Step 2: After Keddy gave Miko 40 jelly beans, Keddy had 'x-40' jelly beans and Miko had 'x+40' jelly beans.
Step 3: According to the problem, after the exchange, Miko had thrice as many jelly beans as Keddy. So, we can set up the equation as follows: x+40 = 3*(x-40).
Step 4: Solving the equation, we get x = 80.
Step 5: So, Miko had 'x+40' = 80+40 = 120 jelly beans in the end.
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