Mr. Landy has a red bucket, a yellow bucket and a green bucket. The red bucket holds twice as much as the green bucket. The yellow bucket holds 8 quarts. If the three buckets hold 14 gallons in all, how many gallons does the red bucket hold?
4 gal
8 gallons
R/2 = G
G + R + 8 quarts = R/2 + R + 2 gallons = 14 gallons
Solve for R.
It's right but I got - 3 for no work but I couldn't find eny
To find out how many gallons the red bucket holds, we need to determine the capacity of the green bucket and then use the given information to calculate the capacity of the red bucket.
Let's first find out the capacity of the green bucket. Since the red bucket holds twice as much as the green bucket, let's call the capacity of the green bucket "x". So, the capacity of the red bucket would be 2x.
The total capacity of the three buckets is given as 14 gallons. The yellow bucket holds 8 quarts, which is equivalent to 2 gallons (since 1 gallon = 4 quarts). So, the remaining capacity of the red and green buckets combined is 14 - 2 = 12 gallons.
Since the red bucket holds twice the capacity of the green bucket, we can write the equation: 2x + x = 12. Combining like terms, we get 3x = 12.
Now, let's solve for x by dividing both sides of the equation by 3: x = 12/3 = 4.
Therefore, the green bucket has a capacity of 4 gallons. Since the red bucket holds twice as much, it would have a capacity of 2 * 4 = 8 gallons.
So, the red bucket holds 8 gallons.