Percent problems

Google Classroom

Problem

Ayden had a goal of finishing painting at least $80\%$80, percent of the $500$500 square meters of a house's walls by today. He actually finished painting $415$415 square meters today.

Did Ayden meet his goal? Why?

, Ayden painted 

 square meters 

 than his goal.

Hint #11 / 5

To find the number of square meters in Ayden's goal, multiply the percent by the total square meters.

$\blueD{80\%} \times \greenD{500} = \text{?}$start color #11accd, 80, percent, end color #11accd, times, start color #1fab54, 500, end color #1fab54, equals, start text, question mark, end text

Hint #22 / 5

Percent means per hundred, so $\blueD{80\%}$start color #11accd, 80, percent, end color #11accd is equivalent to $\blueD{\dfrac{80}{100}}$start color #11accd, start fraction, 80, divided by, 100, end fraction, end color #11accd which is also equal to $\blueD{80\div 100}$start color #11accd, 80, divided by, 100, end color #11accd.

$\blueD{80\div 100 = 0.8}$start color #11accd, 80, divided by, 100, equals, 0, point, 8, end color #11accd

Hint #33 / 5

Now we can find the number of square meters for Ayden's goal.

$\blueD{0.8} \times \greenD{500}=400$start color #11accd, 0, point, 8, end color #11accd, times, start color #1fab54, 500, end color #1fab54, equals, 400

Ayden had a goal of painting $400$400 square meters of the house's walls.

Hint #44 / 5

Ayden had a goal of painting $400$400 square meters of the house's walls, but he actually finished painting $\maroonD{415}$start color #ca337c, 415, end color #ca337c square meters.

$415-\maroonD{400}=15$415, minus, start color #ca337c, 400, end color #ca337c, equals, 15

Hint #55 / 5

Yes, Ayden painted $15$15 square meters more than his goal.