Ratio Language
What do we call the tool that helps us remember the order when writing a ratio?
Key
What does a ratio compare ?
Two quantities
What does "equivalent" mean in math?
**Answer:** Equal in value or amount
If 3 notebooks cost $12, what is the cost for 5 notebooks at the same rate?
**Answer:** $20 (each notebook costs $4)
A factory produces toys in a ratio of 2 dolls to 3 cars. If they produce 120 cars in a day, how many total toys do they produce?
**Answer:** 200 toys (2:3 = ?:120, dolls = 80, total = 80+120=200)
What are the three ways to write a ratio?
Fraction, colon, to,
If the ratio of cats to dogs is 5:2, and there are 10 cats, how many dogs are there?
4 dogs (5:2 is equivalent to 10:4)
Give two ratios that are equivalent to 2:3.
**Answer:** Answers vary (4:6, 6:9, 8:12, 10:15, etc.)
The ratio of red marbles to blue marbles is 3:5. If there are 40 marbles total, how many are red?
**Answer:** 15 red marbles (3 parts red + 5 parts blue = 8 parts total, 3/8 of 40 = 15)
The ratio of the length to width of a rectangle is 4:3. If the perimeter is 56 cm, what is the length?
**Answer:** 16 cm (4 parts + 3 parts = 7 parts, perimeter = 2×(4+3)=14 parts = 56, so 1 part = 4, length = 4×4=16)
If there are 4 squares and 3 circles, what is the ratio of squares to circles?
4:3 or 4 to 3
A recipe uses 2 cups of flour for every 3 cups of sugar. Is this a part-to-part or part-to-whole ratio?
**Answer:** Part-to-part
If 4:7 is equivalent to 20:?, what is the missing number?
**Answer:** 35 (multiplied by 5)
A car travels 240 miles on 8 gallons of gas. How far can it travel on 15 gallons?
**Answer:** 450 miles (30 miles per gallon × 15 gallons)
You're mixing paint. The ratio of blue to yellow paint is 5:2 to make green paint. You want to make 28 gallons of green paint. You already have 10 gallons of blue paint. How much yellow paint do you need to buy to use all your blue paint and make the correct shade of green?
You need to buy 8 gallons of yellow paint to use with your 10 gallons blue to make green in the correct 5:2 ratio. This makes 18 gallons total green paint.
A pizza has 8 slices. You eat 3 slices. What is the ratio of slices eaten to total slices?
3:8 or 3 to 8
Write the ratio 15:25 in simplest form.
3:5 (divide both by 5)
Simplify the ratio 24:36 to its simplest form.
**Answer:** 2:3 (divide both by 12)
In a school, the ratio of teachers to students is 1:20. If there are 15 teachers, how many students are there?
**Answer:** 300 students (1:20 = 15:300)
Which of these ratios is NOT equivalent to 5:8?
A) 10:16
B) 15:24
C) 20:28
D) 25:40
Answer: C) 20:28 (5:8 ×4 = 20:32, not 20:28)
In the classroom, there are 12 girls and 8 boys. What is the ratio of boys to the whole class?
8:20 or simplified to 2:5
If the ratio of wins to losses for a team is 7:3, and they played 40 games total, how many games did they win?
28 wins (7 parts out of 10 total parts = 7/10 of 40 = 28)
A map uses the scale 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, how many miles apart are they actually?
**Answer:** 175 miles (1:50 = 3.5:175)
A fruit punch recipe calls for 3 cups of pineapple juice for every 5 cups of orange juice. If you want to make 32 cups of punch total, how many cups of orange juice do you need?
**Answer:** 20 cups orange juice (3 parts pineapple + 5 parts orange = 8 parts total, 5/8 of 32 = 20)
A recipe for punch uses orange juice, pineapple juice, and ginger ale in a ratio of 3:2:1. You want to make 12 liters of punch. You have 4 liters of orange juice, 3 liters of pineapple juice, and unlimited ginger ale. What is the maximum amount of punch you can make without changing the flavor (keeping the same ratio)?
Answer: 8 liters of punch