body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Maintaining Mathematical Proficiency

Continue to next subchapter

Exercise 1 Page 665

The percent proportion is a proportion that equates a part of a whole to a percent out of 100.

20 %

Practice makes perfect

The percent proportion is a proportion that equates a part of a whole to a percent out of 100. part/whole=percent/100 ⇔ a/w=p/100 We can find what percent 6 of 30 is by thinking about 6 as a part and 30 as the whole. Let's substitute a= 6 and w= 30 into the formula and solve for p.

a/w=p/100

a= 6, w= 30

6/30=p/100

▼

Solve for p

a/b=.a /6./.b /6.

1/5=p/100

LHS * 100=RHS* 100

1/5* 100=p/100 * 100

FracMultDenomToNumber

a/100* 100 = a

1/5* 100=p

MoveRightFacToNumOne

1/b* a = a/b

100/5=p

Calculate quotient

20=p

Rearrange equation

p=20

Therefore, 6 is 20 % of 30.

Subchapter links

Exercises p.665