Rates
Ratios
Cross-Multiplying
Word Problems
Speed, Distance & Time
100

If you buy 4 chocolate bars for $8.40, what is the unit rate?

$2.10

100

Simplify the ratio of 9:3.

3:1

100

x/4 = 6/8

x = 3
100

If the ratio of boys to girls in a class is 2:3 and there are 30 students total, how many are girls?

12

100

If we drove 42 km in 2 hours, what was our speed?

21 km/h

200

If you buy 12 books for $42, how much does each book cost?

$3.50

200

Simplify the ratio of 14:6.

7:3

200

4/7 = 24/x

x = 42

200

If I bought a box of 50 pencils for $7.00, and I sold all 50 pencils for $0.25, how much would I make in profit?

$5.50

200

What distance would we travel if we drove 60km/h for 1.5 hours?

90 km.

300

If I bought 5 bags of chips for $8, how much would 16 bags of chips cost?

$25.60

300

Simplify the ratio of 27:15.

9:5

300

8/x = 56/77

x = 11

300

The ratio of boys to girls on a school trip was 5:4. Unfortunately 6 boys got sick and needed to go home, which changed the ratio of boys to girls to 3:4.

How many girls went on the trip?

12

300

How many minutes would it take to travel 50 km going at a speed of 80 km/h?

37.5 minutes.

400

If 12 movie tickets cost $22 more than 8 movie tickets, how much would 3 movie tickets cost?

$16.50

400

Simplify the ratio of 92:60.

23:15.

400

14/20 = x/30

x = 21

400

The ratio in a bag of blue, green and red candies is 4:3:2. 

You eat 6 candies: 1 blue, 2 green and 3 red. The ratio of candies is now 3:2:1. 

How many candies of each colour are left in the bag?

15 blue, 10 green, and 5 red.

400

If I drive at a speed of 40 km/h for 21 minutes, and then at a speed of 60 km/h for 30 minutes, how far did I travel?

44 km.

500

If I buy 42 hamburgers for $20, and 36 buns for $15, how much should I charge at a BBQ in order to make a profit of $1 per burger?

0.48 + 0.42 = $0.90

Add $1 profit = $1.90

500

Simplify the ratio of 112:96.

7:6

500

24/32 = 6/x

x = 8

500

If I buy 10 bottles of pop for $16 and 20 cups for $5, and each bottle of pop can pour 10 cups, how much should I sell one cup of pop for to make a $0.50 profit on each?

$0.25 for each cup

$0.16 for each amount of pop in the cup

$0.25 + 0.16 = $0.41

Plus $0.50 of profit = $0.91

We should sell each cup of pop for $0.91.

500

If I drive a distance of 40 km going at a speed of 60 km/h, and then I drive a distance of 50 km going at a speed of 80 km/h, how many minutes is my trip?

77.5 minutes.