Question

Jug A has 0.1 litres more than jug B. Jug C has 200 millilitres less than jug B. Jug D has ¼ of the amount that is in jug A. The amounts in jug A and jug B added together come to 1.5 litres.

What is the amount of litres in each jug?

Answer 1

A = 0.8 litres

B = 0.7 litres

C = 0.5 litres

D = 0.2 litres

Explanation

Here's what we know:

1. Jug A = B + .1 litres

2. Jug C = B - 200 (or 0.2 litres)

3. Jug D = .25 x A

4. Jug A + Jug B = 1.5 litres

In problem 1, we learned that Jug A has .1 litres more than Jug B and in problem 4, the two of them added together are 1.5 litres. To solve this we can combine the problems.

B + .1 litres + B = 1.5 litres

2B + .1 = 1.5

Subtract .01 from each side and you have 2B = 1.4

Divide each side by 2 and you have B = 0.7 litres

Plug this info into problem 1 and you can solve for A. (0.7 + 0.1 = 0.8)

Plug this info into problem 2 and you can solve for C. (0.7 - 0.2 = 0.5)

Since you have A, you can use that info to solve problem 3 (0.25 x 0.8 = 0.2)