If we fill a wheelbarrow with dirt, it ways 60 pounds. When we only fill the wheelbarrow 1/4 full, it weighs 33 pounds. How much does the empty wheelbarrow weigh?

Question

Mathematics

Marlene

2 January, 07:22

If we fill a wheelbarrow with dirt, it ways 60 pounds. When we only fill the wheelbarrow 1/4 full, it weighs 33 pounds. How much does the empty wheelbarrow weigh?

+5

Answers (1)

Know the Answer?

Leila Mitchell · Answer 1

24 pounds

Step-by-step explanation:

Let's call the weight of the empty wheelbarrow X, and the weight of dirt to fill the wheelbarrow Y.

So, we can formulate the following equations:

X + Y = 60

X + (1/4) * Y = 33

Subtracting the second equation from the first one, we have:

3/4 * Y = 27

Y = 27 * 4 / 3 = 36

Now, we can calculate X:

X + 36 = 60

X = 24 pounds