Question

Provincetown's budget forwaste disposal increased by1 times over the budget fromlast year. What percent increaseis this?

Answer 1

25%

Step-by-step explanation:

Let the last budget = x

This year's budget = 1 1/4 (last year budget)

`\begin{gathered} \text{This year's budget = }1(1)/(4)\text{ (x)} \\ \text{This year's budget = }(5)/(4)x \end{gathered}`

Percentage increase:

`\begin{gathered} \text{ \% increase= }\frac{this\text{year - last year }}{\text{last year}}\text{ }*100 \\ \text{ \% increase =}\frac{(5)/(4)x\text{ - x}}{x}\text{ }*\text{ 100} \end{gathered}`
`\begin{gathered} \text{ \% increase =}\frac{\frac{5x\text{ - 4(x)}}{4}}{x}\text{ }*\text{ 100} \\ \text{ \% increase =}\frac{\frac{x\text{ }}{4}}{x}\text{ }*\text{ 100} \\ \text{ \% increase =}\frac{x\text{ }}{4}*(1)/(x)\text{ }*\text{ 100} \\ \text{ \% increase = 25\%} \end{gathered}`