Rates
Ratios
Proportions
Solving Proportions
Solving Story Problems with Proportions
100

Which is the better buy, 3 pens for $1.32 or 5 for $2.50?

What is 3 pens.

1.32/3 = .44 each

2.5/5 = .5 each (.5 = .50)

100

Thirty buses can carry 1500 people. How many people can be carried by 5 buses?

What is 250 people?


30/1500  = 5/x 

100

Is this a proportion? 45 miles/ 2 hours = 96 miles/ 4 hours

What is No?  

45/2  =  90/4

100

Find the missing number in in the proportion: 

6/x = 15/5

What is 2?

6/2 = 15/5

 3 = 3

100

A model of a building has a scale factor of 1 cm equals 30 inches. If a room is 13 feet long, what size will it be in the model?

What is 5.2 cm?

200

Which is the better buy, 4 pens for $2.44 or 8 pens for $4.64?

What is 8 pens?

200

Two rectangles are in proportion. The smaller rectangle has a length of 8 cm. and a width of 6 cm. The larger rectangle has a width of 9 cm. and a length of ______cm.

What is 12?

200

Is this a proportion? 

4.8 errors/ 3 pages = 3.4 errors/ 2 pages

What is No?

4.8 / 3   =   3.2 / 2

200

Find the missing number in in the proportion: 3/2 = x/27

What is 40.5?

200

The scale on a map is 1/2 inch equals 15 km. What distance is represented by 2 1/2 inch?

What is 75 km?

300

The expression 2n - 3 gives the number of tiles in row "n" of a pattern. How many tiles are in row 7?

What is 11 tiles?


2(7) - 3 = 

 14 - 3

300

Simplify this ratio:64 ounces/ 2 pounds

What is 2/1?

16 ounces = 1 pound

64o/2p = 32o/1p  =  2p/1p


300

Two rectangles are proportional. The length of the larger rectangle is 18 cm. and the width is 6 cm. The length of the smaller rectangle is 12 cm. Find the width.

 

What is 4 cm?


18/6 = 12/x

300

Find the missing number in in the proportion: 


8 / 10 = 6 / x

What is 7.5?

300

A 11-inch wide by 17-inch long document is to be reduced to a length of 8.5 inches. How wide will the document be?

What is 5.5 inches?

400

Find the unit rate if you are paid $90 for delivering papers for 6 days.

What is $15/1 day?

400

Bob is 25 in. tall. His brother is 2 1/4 times as tall. What is the height of the brother?

What is 56.25 inches?


25 x 2.25 

400

On Fiona's map, the distance from her office to her house measures 3.5 in. The map scale is 1 in. = 16 mi. If Fiona drives back and forth, how many total miles will her round trip be?

What is 112 miles?

400

Find the missing number in in the proportion: 

0.52 / 2  =  x / 3

What is 0.78?

400

You drive 125 miles in 3 hours. How long will it take you to drive 400 miles if you go the same rate?

What is 9.6 hours?

500

Find the unit rate if a plane flies 2275 miles in 3.5 hours.

What is 650 miles/1 hour?

500

Simplify this ratio: The perimeter of rectangle A is 27 feet. The perimeter of rectangle B is 10 yards. What is the ratio of the perimeter of rectangle B to the perimeter of rectangle A?

What is 10/9?

10 yards / 27 ft.  =  10 yards / 9 yards

500

Is this a proportion? 

1.44/ 8 = 1.7/ 10

What is NO?

cross multiply 

14.4  does not = 13.6 

500

Find the missing number in in the proportion: 4.63/0.2 = x/4

What is 92.6?

500

A 3-ounce steak has 222 calories. How many calories are in a 8-ounce steak?

What is 592 calories?