Question

Shelly is painting signs for her school's pep rally. She has 41 gallons of paint. Twelve signs use 14 gallons of paint. Write the equation that can be used to find x, thenumber of signs that Shelly can paint, and find the total number of complete signs she can paint

Answer 1

We know that 14 gal can paint 12 signs.

Then, by applying the rule of three, we can write:

`\begin{gathered} 14\text{ gal}\longrightarrow12\text{ signs} \\ 41\text{ gal}\longrightarrow x=\frac{12\text{ signs}}{14\text{ gal}}\cdot41\text{ gal}\approx35\text{ signs} \end{gathered}`

For any number "n" of gallons, we can write the number of signs "x" she can paint as:

`x=(12)/(14)n=(6)/(7)n`

Answer: she can paint 35 signs with 41 gallons.