# SOLUTION: If a team consists 20 members in which 20% are mathematician then how many member should they hire sothat the ratio would become 10/11.

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 Question 389435: If a team consists 20 members in which 20% are mathematician then how many member should they hire sothat the ratio would become 10/11. Answer by gwendolyn(128)   (Show Source): You can put this solution on YOUR website!First let's figure out how many mathematicians are already on the team: 20 members times 20% is the same as: 20*.2 = 4 So, there are already 4 mathematicians on the team. We need to add x more mathematicians. Whenever we add x mathematicians, we add x to the original 4 mathematicians, and we also add x to the number of total team members. We need to find the value for x which provides a ratio of 10/11: Multiply both sides by 11: Distribute the 11 on the left and "cross out" 11/11 on the right: Multiply both sides by (20 + x) "Cross out" (20 + x)/(20 + x) on the left and distribute the ten on the right: Subtract 10x and 44 from both sides to isolate the variable: 44 + 11x - 44 - 10x = 200 + 10x - 44 - 10x x = 200 - 44 x = 156 So, we need to add 156 mathemeticians to the team.