Writing and Solving Ratios
Unit Rates
Is it Proportional?
Solving Proportions
Scale Drawings
100

Write the ratio as a fraction in simplest form.

12 completions to 28 attempts

3/7

100

$5.40 for 24 cans

$0.23 for 1 can



100

28.5 : 42 and 19 : 28

Yes

100

5/12 = x/36

x = 15

100

Find the missing dimension.  Use the scale 2:5.

Model                             Actual

Depth: 10km          Depth: _____km

25km

200

Find the missing values.

__ 15 __ __ 

 6  18 36 72

5 15 30 60

6 18 36 72

200

$1.29 for 20 ounces

$0.06 for 1 ounce

OR

$1 for 15.5 ounces

200

3.5 : 4 and 11.9 : 13.6

Yes

200

20/3.4 = 800/y

y = 136

200

Find the missing dimension.  Use the scale 2:5.

Model                             Actual

Length:5 in          Length: _____in

12.5in

300

Find the missing values.

__ 72 9 __

20 80 __ 40


18 72 9 36

20 80 10 40

300

50 meters in 27.5 seconds

1.82 meters in 1 second

OR

1 meter in 0.55 seconds

300

124 to 98 and 315 to 225

No

300

2.8/r = 70/3

r = 0.12

300

Find the missing dimension.  Use the scale 2:5.

Model                             Actual

Length: ____ft             Length: 24ft

9.6ft

400

A water pipe leak floods 50 square feet every 1/5 minute.  What is the flooded area after 6 minutes.

1500 square feet

400

There are 16 bacteria in a beaker.  Four hours later there are 228 bacteria in the beaker.  What is the rate of change per hour (unit rate) in the number of bacteria?

57 bacteria in 1 hour

400

$24 for 16 burgers and $15 for 10 burgers

Yes


400

There are 3 referees for every 16 players.  Write a proportion that gives the number of referees r for 128 players.

3/16 = r/128

r = 24

400

Find the missing dimension.  Use the scale 2:5.

Model                             Actual

Diameter: ____m        Diameter: 32.5m

13m

500

Find the ratio of flour to milk and interpret.

Biscuit Recipe

3 cups flour            1/2 cup of water

2/3 cup milk           3/4 cup butter

3:2/3

The amount of flour is 4 1/2 times the amount of milk.

500

Which has the most protein per calorie?

          Calories   Protein   Fiber   Sugar

Bar A       220      20g      12g      14g

Bar B       130      12g       8g       10g

Bar B 0.092 protein per calorie

500

The seventh grade band has 15 drummers and 12 trumpet players.  The eighth grade band has 11 drummers and 9 trumpet players.  Do the ratios form a proportion? 

No

500

You need 252 gift bags for an event.  You found a gift bag that costs $6.50 for 21 bags.  Your budget is $75.  Is the gift bag within your budget? Justify your answer.

No, because it would cost $78 for 252 gift bags.

500

A scale model has a scale of 1ft:8ft.  If you are trying to find the model length to an actual of 48ft are these calculations correct, why or why not?

1ft to 8ft = 48ft to x

x=384ft

No, because it is always model over actual.  It should be:

1ft to 8ft = x to 48ft

x = 6ft

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