Equivalent Ratios
What is an equivalent ratio to 2:3?
Good luck
If 5 apples cost $10, what is the unit rate?
$2/ apple
If the ratio of cats to dogs is 3:2, how many cats are there if there are 10 dogs?
A: 15 cats
Which is cheaper: $5 for 2 kg or $8 for 4 kg?
$5 for 2 kg ($2.50/kg is cheaper than $2.00/kg)
What is 50% of 100?
50
Is 5:10 equivalent to 3:6?
Yes, both simplify to 1:2
180 km in 3 hours. What is the unit rate in km/h?
60 km/h
A juice mix uses 4 parts water to 1 part concentrate. How much water is needed for 3 cups of concentrate?
12 cups of water
John runs 12 km in 2 hours. Mike runs 18 km in 3 hours. Who is faster?
Both have the same speed: 6 km/h
What is 25% of 80?
20
Fill in the blank: 7:___ is equivalent to 21:9
3
You read 48 pages in 2 hours. What's your unit rate?
24 pages/hour
The ratio of pencils to pens is 5:8. If there are 40 pens, how many pencils are there?
25 pencils
Which is a better deal: 3 bottles for $6 or 5 bottles for $9?
5 bottles for $9 ($1.80/bottle vs $2.00/bottle)
You score 18 out of 20 on a quiz. What is your percentage?
90%
Which of the following is equivalent to 8:12?
A) 2:3
B) 3:4
C) 4:5
A) 2:3
$27 for 9 chocolate bars. What is your unit rate?
$3 per bar
A class is preparing juice using a fruit mix. The mix ratio is 2 parts orange juice, 3 parts apple juice, and 5 parts water.
If the students have 4 liters of orange juice, how much apple juice and water will they need to keep the ratio the same?
Apple juice = 3 parts × 2 = 6 liters
Water = 5 parts × 2 = 10 liters
Sarah paints 3 rooms in 6 hours. Emily paints 4 rooms in 8 hours. Who is faster?
Sarah (0.5 rooms/hour vs 0.5 rooms/hour — same speed)
f a shirt costs $40 and is 25% off, what’s the sale price?
$30.00
True or False: 9:15 is equivalent to 3:5
yes
A car travels 540 km using 45 litres of fuel. What is the fuel efficiency in km/L?
12 km/L
A bakery sold 100 muffins in one day.
60% of the muffins were chocolate.
The ratio of vanilla to blueberry muffins sold was 3:5.
How many chocolate, vanilla, and blueberry muffins were sold?
Chocolate: 60 muffins
Vanilla: 15 muffins
Blueberry: 25 muffins
A store offers 6 cans for $7.50, another offers 10 cans for $12. Which is cheaper per can?
10 cans for $12 ($1.20 vs $1.25 per can)
A computer is originally $600. It is on sale for 30% off. How much do you save, and what’s the final price?
Save $180; final price is $420