There are 4 less members in Team Red than Team Blue. If 7 members are transferred from Team Red to Team Blue, the total number of members in Team Red becomes 1/3 the number of Team Blue. How many members are there in Team Red and Team Blue respectively?
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Answer:
Let x be the number of members in Team Blue.
Since there are 4 less members in Team Red than Team Blue, Team Red has x - 4 members.
After 7 members are transferred from Team Red to Team Blue, the total number of members in Team Red becomes 1/3 the number of Team Blue.
So, (x - 4 + 7) = 1/3(x)
So, x - 4 + 7 = x/3
We can now simplify this equation by multiplying both sides by 3
3x - 12 + 21 = x
2x = 33
x = 16
So Team Blue has 16 members
Team Red has x - 4 = 16 - 4 = 12 members.
Therefore, Team Red has 12 members and Team Blue has 16 members