Q:

Three universities receive endowments totaling 110 million dollars. Northern U receives twice as much as wester U. Eastern Us endowments are 10 million less than the sum of those of the other two institutions.

Accepted Solution

A:
Answer:Western U gets 20 millionNorther U gets 40 millionEastern U gets 50 millionStep-by-step explanation:We need to find the amount each university gets.LetNorthern U get nWestern U get wEastern U get eWe can write equations from the given word problem:n + w + e = 110andn = 2we = n + w - 10Putting 2nd in 3rd, we get:e = 2w + w - 10e = 3w - 10Now putting this and 2nd in first, we solve for w:n + w + e = 1102w + w + 3w - 10 = 1106w = 120w = 20AND n = 2 (20) = 40AND e = 3(20) - 10 = 50So,Western U gets 20 millionNorther U gets 40 millionEastern U gets 50 million