Question

Two small buckets and 1 large bucket can hold 8 cups of gasoline. One large bucket minus 1 small bucket constitutes 2 cups of gasoline. How many cups of gasoline can each bucket hold?

Answer 1

Let's represent the capacity of the small bucket as "x" and the capacity of the large bucket as "y".

From the first statement, we can set up the equation:

2x + y = 8

From the second statement, we can set up another equation:

y - x = 2

Now we can solve for "x" and "y".

Rearranging the second equation, we get:

y = x + 2

Substituting this value of "y" into the first equation, we get:

2x + (x + 2) = 8

Simplifying, we get:

3x + 2 = 8

Subtracting 2 from both sides, we get:

3x = 6

Dividing by 3, we get:

x = 2

Substituting this value of "x" into the second equation, we get:

y - 2 = 2

Simplifying, we get:

y = 4

Therefore, each small bucket can hold 2 cups of gasoline, and the large bucket can hold 4 cups of gasoline.