proportions and scales

proportions

100

A machine produces 36 gadgets in 1 minute. The gadgets are then boxed to sell in sets of 3. How many minutes will it take the machine to make 108 sets of gadgets? 

9 minutes

200

In a person's body, 6 in every 24 bones are in the feet. If there are 206 bones in the body, predict how many bones are in the feet. 

About 51 bones

300

About 2 in every 400 people have an extra rib. If there are 580 people in Antoine's middle school, predict how many people have an extra rib. 

about 3 people

400

Joe can solve 6 math problems per minute and Jon can solve 9 math problems per minute. Joe and Jon have 4 minutes each to complete as many problems as they can. How many more will Jon solve than Joe after 4 minutes?

12 problems

500

For every 2 fish, there needs to be 5.5 gal of water in the tank. Suppose there were 6 fish in the tank, how much water is needed?

16.5 gallons of water

simple proportions

100

x/4 = 9/10

x = 3.6

200

2/34 = 5/y

y = 85

300

7 / -3 = n / 21

n = -49

400

6 / 45 = 10 / x

x = 75

500

12 / 40 = x / 15

x = 4.5

scales

100

Diego made a scale drawing of a community college. A building at the college, which is 35 meters wide in real life, is 7 centimeters wide in the drawing. What is the unit rate of centimeters to meters?  

1 cm = 5 m

200

Joseph made a scale drawing of an Italian restaurant. The scale he used was 1 millimeter : 6 meters. The restaurant's kitchen is 24 meters long in real life. How many mm is the drawing?

4 mm

300

Dalton made a scale drawing of a swimming pool. The scale he used was 1 millimeter : 5 meters. The actual width of the pool is 25 meters. How wide is the pool in the drawing? 

5 mm

400

Luca made a scale drawing of a county park. He used the scale 1 inch : 6 yards. If the picnic area is 23 inches long in the drawing, how long is the actual picnic area? 

138 yards

500

Valentina made a scale drawing of a house and its lot. In real life, the porch is 20 feet wide. It is 38 inches wide in the drawing. What is the scale of the drawing?

1 inch = 1.9 feet

perimeter with scales

100

Swimming pool measures 7 inch (l) by 5 inch (w). What is the actual perimeter if the scale is 1 inch = 3 feet. 

72 inches

200

If the closet is 5/8 inches (l) and 3/4 inches (w), what is the actual perimeter of the closet? 

1 inch = 24 feet

68 feet

300

If the master bedroom is 1 1/4 inches (l) and 3/8 in (w), what is the actual perimeter of the master bedroom? 

1 inch = 24 feet

78 feet

400

What is the actual perimeter of the study if the length is 2 inches and width is 1.5 inches? 

1/2 inch = 3 feet

42 feet

500

What is the actual perimeter of the kitchen if the length is 1.5 inches and the width is 2 inches?

1 inch = 8 feet

56 feet

area with scales

100

Swimming pool measures 7 inch (l) by 5 inch (w). What is the actual area if the scale is 1 inch = 3 feet.

315 in squared

200

If the closet is 5/8 inches (l) and 3/4 inches (w), what is the actual area of the closet?

1 inch = 24 feet

285 ft sq

300

If the master bedroom is 1 1/4 inches (l) and 3/8 in (w), what is the actual area of the master bedroom? 

1 inch = 24 feet

270 ft sq

400

What is the actual area of the study if the length is 2 inches and width is 1.5 inches? 

1/2 inch = 3 feet

108 feet sq

500

What is the actual area of the kitchen if the length is 1.5 inches and the width is 2 inches?

1 inch = 8 feet

192 ft sq