Q10. - Algebra 1

Question

RECYCLING San Francisco has a recycling facility that accepts unused paint. Volunteers blend and mix the paint and give it away in 5-gallon buckets. Write and solve an equation to find the number of buckets of paint given away from the 30,000 gallons that are donated.

Step-by-Step Solution

Answer

The number of buckets donated is 6000.

Step 1. Given.

Total paint = 30,000 gallons.

The amount of paint per bucket = 5 gallons.

Step 2. What to find?

We have to find an equation for the number of buckets of paint given away. And then we have to solve the equation for 30000 gallons.

Step 3. Calculation.

1 bucket contains 5 gallons. 

So, $1$ gallons can be contained in $\frac{1}{5}$ a bucket.

So, $x$ gallons can be contained in $\frac{x}{5}$. 

We will plug x = 30000 in the formula.

$\begin{array}{c}\frac{x}{5}=\frac{30000}{5}\\ =6000\end{array}$

Hence, the number of buckets donated is 6000.