Sixth Grade Ratios, Rates, Proportions, Comparing Costs

Ratios

100

At the animal shelter there are 14 cats, 3 dogs, and 2 rabbits. What is the ratio of rabbits to cats? Remember you must always simplify to the lowest ratio if you can.

1:7

2:14 reduces to 1:7

200

There are six circles, four squares, two triangles, and 5 rectangles. What is the ratio of rectangles to squares?

5:4

300

At the animal shelter there are 14 cats, 3 dogs, and 2 rabbits. What is the ratio of dogs to total animals? Remember you must always simplify to the lowest ratio if you can.

3:19

3 dogs to 19 total animals (14 cats + 3 dogs + 2 rabbits)

400

There are six circles, four squares, two triangles, and 5 rectangles. What is the ratio of circles AND squares to triangles? Remember you must simplify to the smallest ratio if you can.

5:1

10 (6 circles + 4 squares):2 (triangles)

500

Which one is NOT the equivalent ratio? 3:1, 9:3, 12:4, 15:5, 18:7

18:7

All others reduce to 3:1

Rates

100

A 24 case of Pepsi costs $7.49. How much does one can of Pepsi cost?

$0.31

200

A box of fruit snacks costs $5.49 for 500 fruit snacks. How much is one fruit snack?

$0.01

5.49/500

300

Julian made $75.23 washing bikes. If he washed 16 bikes, how much money did he make per bike?

$4.70 per bike

$75.23/16

400

It costs $416.75 for 1600 strawberries. How much is one strawberry?

$0.26

416.75/1600 

Comparing Costs

100

Julia is looking to buy a bag of chips. She can spend $3.15 on a 24oz bag or $2.55 on a 21oz bag. Which is the better buy?

$2.55 for a 21oz is the better buy (cheaper)

3.15/24 = .13

2.55/21 = .12

200

I can buy 12 shirts for $37.00 or 8 shirts for $23.00. Which is the better buy?

8 shirts for $23.00 is the better buy (cheaper)

37/12 = 3.08

23/8 = 2.88

300

I can buy a pack of 3 Sharpie markers for $3.99 or a pack of 5 Sharpie markers for $5.01. What is the better buy?

5 Sharpies for $5.01

3.99/3 = 1.33

5.01/5 = 1.002

400

Susie is shopping for gum. She can buy a package of 15 sticks for $1.98, a package of 6 sticks for $0.96, a package of 22 sticks for $3.22 or a package of 75 sticks for $5.25. Which is the better buy?

$5.25 for 75 sticks is the better buy (cheaper)

1.98/15 = .13

.96/6 = .16

3.22/22 = .15

5.25/75 = .07

Proportions

100

Does the pair of ratios form a proportion? 1:3 and  5:12

No. 

15 does not equal 12

200

Does the pair of ratios form a proportion? 2:6 and 1:3

Yes

6 = 6

300

Katie earned $13.50 babysitting for 2 hours. How much money would she earn if she babysat for 5 hours?

$33.75

13.50:2 = x:5

13.5(5) = 2x

67.50 = 2x

67.50/2 = 33.75

400

Solve the proportion: 

4/p = 11/2

0.72

p(11) = 4(2)

11p = 8

p = 8/11

500

Joel earned $175.53 for mowing grass at 15 houses. If he mowed grass for 27 houses, how much money would he make? 

$315.95

175.53x27 = 15x