Percent problems

Google Classroom

Problem

A swimming pool had $2.5$2, point, 5 million liters of water in it. Some water evaporated, and then the pool only had $2$2 million liters of water in it.

What percent of the water evaporated?

 $\%$percent

Hint #11 / 5

Let's start by finding the amount of water that evaporated.

$2.5\,\text{million L}-2\,\text{million L}=0.5\,\text{million L}$2, point, 5, start text, m, i, l, l, i, o, n, space, L, end text, minus, 2, start text, m, i, l, l, i, o, n, space, L, end text, equals, 0, point, 5, start text, m, i, l, l, i, o, n, space, L, end text

What percent of $2.5$2, point, 5 million liters is $0.5$0, point, 5 million liters?

Hint #22 / 5

We can rewrite that question as an equation.

$\begin{array}{ccccc} \blueD{\text{what percent}}&\text{of}&\greenD{2.5\,\text{million L}}&\text{is}&0.5\,\text{million L}\\\\ \blueD{?\%}&\times &\greenD{2.5}&=&0.5 \end{array}$

Hint #33 / 5

Let's solve for the percent.

$\begin{aligned} \dfrac{\blueD{?\%}\times \greenD{2.5}}{2.5}&=\dfrac{0.5}{2.5}\\\\ \blueD{?\%}&=\blueD{0.2} \end{aligned}$

Hint #44 / 5

Percent means per hundred, so $\blueD{0.2}$start color #11accd, 0, point, 2, end color #11accd is equivalent to $\blueD{\dfrac{20}{100}}$start color #11accd, start fraction, 20, divided by, 100, end fraction, end color #11accd and also to $\blueD{20\%}$start color #11accd, 20, percent, end color #11accd.

Hint #55 / 5

$20\%$20, percent of the water evaporated.