Writing ratios for situations
There are 8 bags of oranges and 7 bags of apples with an equal number of fruit in each bag. What is the ratio of bags of oranges to bags of apples?
8 : 7
Using division, write 3 equivalent ratios for 18 : 54.
3 : 9
2 : 6
1 : 3
In a fruit punch, the ratio of the volume of cranberry juice to the volume of Sprite is 3 : 4. If I want to make 210 mL of punch, what is the volume of the Sprite that is needed?
120 mL of Sprite is needed to make the punch.
For every 3 pens there are 9 pencils. What fraction of the writing instruments are pens?
1/3
Express the following ratios in simplest form.
a. 16 : 40
b. 56 : 21
a. 2: 5
b. 8 : 3
Liza has 2/7 the amount of emails as Ellie. If they have 135 emails altogether, how many emails does Liza have?
Liza has 30 emails.
There were 5 classes of 30 students each. They are 3 chaperones per class. What is the ratio of students to chaperones? Write your answer in simplest form.
150 : 15
10 : 1
State whether each ratio is equivalent. Use mathematical language to defend your answer.
1. 12 : 8 and 18 : 12
2. 24 : 6 and 4 : 3
1. Yes. (Show your work and explanation for points.)
2. No. (Show your work and explanation for points.)
The recess equipment at the school includes 144 balls. The ratio of soccer balls to basketballs is 8 : 4. What is the difference between the soccer balls and the basketballs?
The difference between the basket balls and soccer balls is 48.
Jamie had $26 when she went to Red Mill to get a burger and shake. After buying her food, she had $12 left.
a) Find the ratio of the amount of money she spent to the amount of money she had left.
b) What fraction of her money did Jamie spend?
a) 7 : 6
b) She spent 6/13 of her money.
I use 2 cups of pecans for every 7 cups of oats when I make a batch of granola.
1. What is the ratio of cups of oats to cups of pecans in my recipe?
2. I want to make 8 batches of granola. What is the difference between the amount of oats and pecans I use?
3. I have 4 - 1/2 cups of pecans, how many cups of oats do I need?
1. 7 : 2
2. The difference between the oats and pecans I use is 40 cups.
3. I will need 14 - 1/2 cups of oats.
I prepare a trail mix that has almonds, chocolate chips, and pretzels in a ratio of 3 : 2 : 5. If I have 140 cups of trail mix, how many cups of each ingredient do I have?
Almonds: 42 cups
Chocolate Chips: 28 cups
Pretzels: 70 cups
Tyler's monthly allowance is $40 and Jeremiah's monthly allowance is $85. How many times Tyler's monthly allowance is Jeremiah's?
Jeremiah's allowance is 2 - 1/42 times Tyler's allowance.
The ratio of the number of cookies Jim has to the number of cookies Larry has is 6 : 5. The ratio of the number of cookies Larry has to the number of cookies Albert has is 20 : 7. Find that ratio of the number of cookies Jim has to the number of cookies Larry has to the number of cookies Albert has.
24 : 20 : 7
Anna, Cole, and Zane have a total of 175 stickers. The ratio of the number of stickers Anna has to the number of stickers Cole has is 5:3. The ratio of the number of stickers Cole has to the number of stickers Zane has is 2 : 3. Find the ratio of the number of stickers Anna has to Cole to Zane.
How many stickers does each person have?
10 : 6 : 9
Anna has 60 stickers.
Cole has 42 stickers.
Zane has 63 stickers.