Writing Ratios
Write a ratio for the following description: There are 7 dogs for every 3 cats
7:3
7 to 3
Identify a ratio that is equivalent to 6:10
3:5
12:20
18:30
The Cubs score 8 runs for every 4 runs that the White Sox score. If the Cubs and the Sox scored a total of 48 runs, how many runs did the Cubs score? How many runs did the Sox score?
If you used a tape diagram there would be a 4 in each box since the total was given you would divide 48 by 12 (12 total boxes).
So the Cubs scored 32 runs (8x4) and the Sox scored 16 runs (4x4).
What is the same about these ratios?
3:8 and 9:2
They have the same total (11)
What is the value of the ratio 3:8? (In simplest form)
3/8
Write a ratio for the following description: There are 20 chairs dogs for every 4 tables
20 to 4
5:1 (simplified)
5 to 1 (simplified)
Are the ratios 15:25 and 3:7 equivalent? (Why or why not?)
No, because 15 divided by 5 is 3, but 25 divided by 5 is not 7, it is 5.
The ratio of goldendoodles to pugs is 13 to 9. If there are 32 more goldendoodles than pugs, how many goldendoodles are there?
There are 52 goldendoodles
You are given the more so you need to divide 8 by 32, so there is 4 in each box of your tape diagram. 4x13=52.The ratio of Zach's money to Martha's money was 8:5. Martha got a raise and started to make more money, so the ratio of Zach's money to Martha's money changed to 6:7.
If Zach had $160 before Martha's raise, how much did he have after her raise?
Zach would have $120 after Martha's raise.
There is $20 in each box.
What is the value of the ratio 15:45? (In simplest form)
1/3 (simplified from 15/45)
Write a ratio for the following description: There are twice as many coaches as there are players
2 to 1
The ratio of the number of laps May ran to the number of laps Louie ran was 5 to 7. If May ran 15 laps, how far did Louie run?
Louie would run 21 laps (multiply the ratio by 3)
The ratio of iPhones to Samsung phones is 8:2. There are 30 more iPhones than Samsung phones. How many iPhones are there? How many Samsung phones are there? Use any strategy to show your work and support your answer.
There are 40 iPhones and 10 Samsung phones.
If you used a tape diagram there should be 5 in each box (30 divided by 6 is 5). So 8x5=40 and 2x5.
The ratio of popcorn to candy purchased at the theater was 1:5 last year. This year, the ratio of popcorn to candy purchased at the theater is 4:2.
If there were 20 boxes of candy purchased last year, how many containers of popcorn were purchased this year?
There would we 16 containers of popcorn purchased.
(4 in each box)
Equivalent ratios have the same ___________. (fill in the blank)
Equivalent ratios have the same VALUE!
Write a ratio for the following description: Mike makes 3 baskets for every 8 baskets that Jesse makes
3:8
3 to 8
The Bears score 3 times as many field goals as the Packers. If the Packers scored 18 field goals last season, how many did the Packers score?
The Packers would score 54 field goals.
The ratio is 3:1, so 18x3=54.
The ratio of peppers to tomatoes is 7:2. If there are 15 more peppers than tomatoes, how many peppers are there? How many tomatoes are there.
There are 21 peppers and 6 tomatoes.
Since there are 15 more peppers, you divide that by 5 (the more boxes) so there is 3 in each box.
7x3=21
2x3=6
In 2016 the Bears scored 3 field goals for every 2 field goals the Vikings scored.
In 2018 the Bears scored 1 field goal for every 4 field goals the Vikings scored.
If the Vikings scored 32 field goals in 2018, how many field goals did the Bears score in 2016?
The Bears scored 24 field goals in 2016.
(there would be 8 in each box)
Yes because they both have a value of 3/4
Write a ratio for the following description: For every nine cows there are 17 chickens.
9 to 17
Walmart charges half of what Target charges for groceries. If Lucy paid $160 at Target, how much would she have paid pay at Walmart?
She would have paid $80, since the ratio is 1:2. 160 divided by 2 is 80.
The ratio of black shirts to red shirts is 4:7. If there are a total of 143 shirts, how many shirts are black? How many shirts are red?
There are 52 black shirts and 91 red shirts.
Since the total is 143, divide it by the total boxes (on the tape diagram) which is 11, so there are 13 in each box.
Last year the ratio of apples to bananas was 5:7. This year the ratio of apples to bananas is 2:10. If there were 40 apples last year, how many more bananas are there this year than there were last year?
There would have been 56 bananas last year and 80 bananas this year. So there are 24 more bananas this year than there were last year.
There is an 8 in each box since 40 divided by 5 is 8.
The recipe requires 3 cups of chocolate chips for every 15 cookies.
How many cookies can you make if you have 24 cups of chocolate chips?
120 cookies.
Since there are 24 cups of chocolate chips, there would be enough to make 8 batches, since 24/3=8.
8x15=120