Ratios
Equivalent Ratios
Proportions
Solving Ratios Using
Equations
Equations
Tape Diagrams
100
Emma is making smoothies and used 1 cup of yogurt, 4 cups of orange juice, and 3 cups of frozen berries. Write the ratio of cups of frozen berries to cups of yogurt in simplest form.
3:1
100
9:24 = 27:____
72
100
In a city, the ratio of adults to children is 7:3. If there are 420 adults in the city, how many children are there?
980
100
Write an equation showing the relationship between the cups of chocolate chips and the batches of cookies.
c x 2 =k
k/2 = c
100
A school survey showed that for every 2 students who liked to play Soccer, 5 students liked to play Basketball. If a total of 70 students liked either Soccer or Basketball, how many students liked to just play Soccer? Use the tape diagram to justify your answer.
20 students liked to play soccer
200
Sarah baked a batch of cookies using 2 cups of chocolate chips, 8 cups of flour, and 4 cups of sugar. Write the ratio of cups of chocolate chips to cups of flour in all 3 forms.
2:8, 2/8 and 2 To 8.
200
33:____ = 3:1
11
200
If 40% of a number is 80, what is the whole number?
200
200
Using the table, determine the number of tomato plants when there are 10 pepper plants and the number of pepper plants when there are 12 tomato plants.
t = 15
p = 8
200
A survey in a school revealed that for every 4 students who liked to read books, 6 students liked to watch movies. If a total of 100 students liked either books or movies, how many students liked to just read books? Use the tape diagram to justify your answer.
40 students liked to read books.
300
Liam made a fruit salad with 3 cups of strawberries, 5 cups of blueberries, and 2 cups of bananas. Write the ratio of cups of bananas to total cups of fruit in all 3 forms.
2:10, 2/10 and 2 To 10
300
14:42 = _____:168
56
300
A recipe for a cake requires 4 cups of sugar for every 10 cups of flour. If a baker wants to use 25 cups of flour, how many cups of sugar will they need to maintain the same ratio?
10
300
Using the table, calculate the number of balls when there are 6 bats and the number of bats when there are 25 balls.
Balls: 10
Bats: 15
300
In a school poll, it was found that for every 5 students who liked to play Football, 3 students liked to play Baseball. Additionally, 16 more students liked to play Football than those who liked Baseball. How many students liked to just play Football?
40 students like to play football
400
Ava made a special cake using 2 cups of butter, 4 cups of sugar, 3 cups of flour, and 6 cups of milk. Write the ratio of cups of sugar to cups of flour in simplest form. Then, write the ratio of cups of butter to total cups in all 3 forms.
Sugar to Flour = 4:3
Butter to Total Cups = 2:15 2/15 and 2 To 15
400
In a classroom, the ratio of pencils to erasers is 4:1. If there are 20 pencils, how many erasers are there to maintain the same ratio?
5 erasers
400
A cyclist travels 180 miles in 6 hours. If the cyclist maintains the same speed, how far will they travel in 4.5 hours?
135
400
Write an equation representing the relationship between the cups of flour and the number of cookies.
F x 12 = C
C/12 = F
400
A survey indicated that for every 5 students who liked to play musical instruments, 3 students liked to sing, and 2 students liked to dance. If a total of 200 students liked one of these activities, how many students liked to just play musical instruments?
100 students like to play musical instruments
500
Ethan prepared a snack mix with 9 cups of pretzels, 7 cups of nuts, and 4 cups of raisins. Write the ratio of cups of pretzels to cups of nuts in all 3 forms. Also, write the ratio of cups of nuts to total cups in all 3 forms.
Pretzels to Nuts= 9:7, 9/7 and 9 To 7
Nuts to Total Cups=7:20, 7/20 and 7 To 20
500
Mia is making a fruit punch that requires a ratio of 3 cups of orange juice to 5 cups of apple juice. If she decides to use 30 cups of apple juice, how many cups of orange juice should she use to maintain the same ratio?
18
500
A store originally sold a jacket for $80 but is now selling it for $60. What percent decrease in price does this represent?
25%
500
Write an equation showing the relationship between the time played and the points earned from the table above.
5 x T = P
P/5 = T
500
A school survey showed that for every 3 students who liked to play Video Games, 4 students liked to play Board Games, and 2 students liked to play Outdoor Games. If a total of 180 students liked one of these games, how many students liked to just play Video Games?
60 students like to play video games