Enter Title

Ratios

100

Mr. Jacobs has 5 math classes.  He teaches a total of 36 girls and 42 boys. Express each ratio as a fraction in simplest form.

1. Boys to girls

2. Girls to total number of students.

7 : 6

6 : 13

200

16 Chaperones to 48 Students

1 : 3

300

52 plates to 24 bowls

13 : 6

400

18 apples to 42 bananas

3 : 7

500

Jack burned 150 calories on the elliptical and 210 on the treadmill.  What is the ratio of calories burned on the elliptical to calories burned on the treadmill?

5 : 7

Proportions

100

5/12, 20/48

240 = 240 

yes

200

18/15, 4/3

60 = 40

no 

300

150/96, 25/16

2400 = 2400

yes

400

4/5, 10/12.5

50 = 50 

yes

500

7/12, 21/36

252 = 252

yes

Solving proportions

100

x/8 = 15/24

x = 5

200

40/y = 4/5

y = 50

300

6/2 = n/14

n = 42

400

15/21 = 10/e

e = 14

500

6/4 = 21/r

r = 14

Shadows

100

A home casts an 85-foot shadow.  At the same time, a bush casts a 10-foot shadow.  If the bush is 6 feet tall, how tall is the house?

x = 51 ft

200

A mailbox is 2.5 feet tall and casts a 5-foot shadow.  Byron is 5 feet tall and is standing next to the mailbox.  How long is Byron's shadow?

x = 10 ft

300

Morgan is 54 inches tall and helps raise the school flag each morning.  She casts a 36-inch shadow, while the flagpole she is standing next to casts a shadow that is 90 inches long.  How tall is the flagpole?

x = 135 inches

400

Two apple trees are growing next to each other.  The older tree casts a 36-foot shadow.  The smaller tree casts a 12-foot shadow and is 8 feet tall.  How tall is the older tree?

x = 24 ft

500

THe statue of liberty is 305 feet tall.  Nicole is 5.5 feet tall and is casting a 8-foot shadow while standing next to the statue of liberty.  How long is the statue of liberty's shadow?

x = 443.63 ft (44 7/11 ft)

Percent

100

14 is what percent of 25?

x = 56

200

What percent of 120 is 7.8?

x = 6.5

300

What is the percent of 37.5% of 360?

x = 135

400

What is 15% of 92?

x = 13.8

500

Find 4% of 1,275.

x = 51