Question

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.

Answer 1

Western U gets 20 million

Norther U gets 40 million

Eastern U gets 50 million

Explanation:

We need to find the amount each university gets.

Let

Northern U get n

Western U get w

Eastern U get e

We can write equations from the given word problem:

n + w + e = 110

and

n = 2w

e = n + w - 10

Putting 2nd in 3rd, we get:

e = 2w + w - 10

e = 3w - 10

Now putting this and 2nd in first, we solve for w:

n + w + e = 110

2w + w + 3w - 10 = 110

6w = 120

w = 20

AND n = 2 (20) = 40

AND e = 3(20) - 10 = 50

So,

Western U gets 20 million

Norther U gets 40 million

Eastern U gets 50 million