Ratio Language and Diagrams
Lin has 3 sets of stationery. Each set has 2 erasers, 4 pencils, and 1 notepad. What is the ratio of erasers to pencils to notepads?
6:12:3
Write 3 ratios that are equivalent to 4 : 6.
Sample responses: 2 : 3, 8 : 12, or 16 : 24. Any ratio that multiplies or divides both terms by the same number is correct.
Two bags of rice cost $3. What is the cost per bag?
$1.50 per bag
A fruit punch recipe uses 4 cups of pineapple juice for every 3 cups of cranberry juice. What is the ratio of pineapple juice to cranberry juice for 2 batches? Show your answer by using a table.
8:6 with correct table
Draw a tape diagram for a bake sale where the ratio of cookies to brownies to muffins is 2 : 5 : 3. How many total baked goods does your diagram represent?
10
A recipe for orange water uses 3 teaspoons of yellow water for every 1 teaspoon of red water. What is the ratio of yellow water to red water for 2 batches?
6:2
Explain how you know that 2 : 3 is equivalent to 4 : 6.
Both 4 and 6 are divided by 2 to get 2 and 3, so the ratios describe the same relationship.
2 bags of rice cost $3, how many bags of rice can you buy for $12?
8 bags
To make a mixed juice you need 4 cups of pineapple juice for every 3 cups of cranberry juice. How many cups of cranberry juice go with 16 cups of pineapple juice? Show your answer by drawing a table.
12 cups of cranberry juice (16 is 4 times 4, so 3 times 4 is 12).
A trail mix has nuts, raisins, and chocolate chips in the ratio 3 : 2 : 5, and the whole mix weighs 150 grams. Draw a tape diagram with 3 boxes for nuts, 2 boxes for raisins, and 5 boxes for chocolate chips in one row. How many grams of raisins are in the mix?
30 grams. The tape has 10 equal boxes that together weigh 150 grams, so each box is 15 grams. Raisins are 2 boxes, so 2 times 15 is 30.
Using the orange water recipe (3 teaspoons yellow to 1 teaspoon red per batch), what is the ratio of yellow water to red water for 4 batches?
You must show your work using one of the ratio representations we learned about.
12:4
One batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla. What is the ratio of cups of flour to teaspoons of vanilla? Draw a double number line to show 5 batches.
5:2
Train B travels 100 meters in 4 seconds at a constant speed. What is its speed in meters per second?
25 meters per second
This ratio table shows the cost of tickets to a fair. How many tickets can you buy for 40 dollars?
Teacher will draw table.
25 tickets (40 dollars is 5 times 8 dollars, so 5 times 5 tickets is 25).
A paint mix uses blue, yellow, and white paint in the ratio 1 : 2 : 5. A painter makes 24 cups of paint mix. Draw a tape diagram with 1 box for blue, 2 boxes for yellow, and 5 boxes for white. How many cups of yellow paint are in the mix?
6 cups. The tape has 8 equal boxes (1 + 2 + 5). Each box is 3 cups because 24 divided by 8 is 3. Yellow is 2 boxes, so 6 cups.
Each cat in a picture has 2 ears, 4 paws, and 1 tail. Write a sentence that uses the word per to describe this situation. Draw a diagram to represent this situation.
Sample responses: There are 2 ears per tail. There are 4 paws per tail. There are 2 paws per ear.
Using the cookie recipe 5 cups of flour and 2 teaspoons of vanilla per batch, you use 20 cups of flour. How many teaspoons of vanilla should you use? Show your answer by making a double number line.
8 teaspoons of vanilla (20 cups is 4 batches, and 4 times 2 is 8).
Train B travels 100 meters in 4 seconds at a constant speed. Train A travels 100 meters in 8 seconds at a constant speed. Who is traveling faster? Explain.
Train B- it travels the same distance in less time.
A printer prints 12 pages every 3 minutes at a constant rate. How many minutes does it take to print 60 pages? Show your answer by making a table.
15 minutes (60 pages is 5 times 12 pages, so 5 times 3 minutes is 15 minutes).
A store earned $360 from three products sold in the ratio 3 : 4 : 5. Draw a tape diagram. How much did the product that makes up 4 boxes earn?
$120. There are 12 boxes in all, so each box is $30 (360 divided by 12). Four boxes is 4 times $30, which is $120.
Each cat has 2 ears and 1 tail. How many tails are there per ear?
One-half tail per ear, since there is 1 tail for every 2 ears.
Cookies take 5 cups of flour and 2 tespoons of vanilla per batch. You use 5 teaspoons of vanilla. How many cups of flour should you use? Show your work using a table, double number line,or tape diagram.
12.5 cups
Andre ran 2 kilometers in 15 minutes. Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Who ran faster? Explain.
Jada ran faster. She would run 6 kilometers in 40 minutes, but Andre would need 45 minutes to run 6 kilometers.
Smoothie A and Smoothie B are made with yogurt and berries. Smoothie A uses 3 cups of yogurt for 2 cups of berries. Smoothie B uses 5 cups of yogury for 4 cups of berries. Which smoothie has more berries compared to yogurt? Explain how you know.
Smoothie B. Scale Smoothie A up by 5 (15 cups of yogurt and 10 cups of berries) and Smoothie B up by 3 (15 cups of yogurt and 12 cups of berries). With the same amount of yogurt, Smoothie B has more berries.
A bag has red, blue, and green marbles. The ratio of red to blue is 2 : 3, and the ratio of blue to green is 3 : 4. There are 63 marbles in total. Draw one tape diagram. How many marbles are green?
A bag has red, blue, and green marbles. The ratio of red to blue is 2 : 3, and the ratio of blue to green is 3 : 4. There are 63 marbles in total. Draw one tape diagram with 2 boxes for red, 3 boxes for blue, and 4 boxes for green, all in one row. How many marbles are green?