Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 7 Practice 6 Real-World Problems: More Ratios to score better marks in the exam.
Math in Focus Grade 5 Chapter 7 Practice 6 Answer Key Real-World Problems: More Ratios
Solve. Show your work.
Question 1.
For a school fair, Lolita’s parents donated 4 bottles of orange juice, 10 bottles of fruit punch and 8 bottles of apple juice. Find the ratio of the number of bottles of orange juice to the number of bottles of fruit punch to the number of bottles of apple juice Lolita’s parents donated.
Answer: 2 : 5 : 4
Explanation:
Given,
Lolita’s parents donated 4 bottles of orange juice,
10 bottles of fruit punch,
8 bottles of apple juice,
By dividing 4 , 10 and 8 with 2 we get 2 : 5 : 4 to get into simplest form.
Question 2.
A company gave a total of $900 to three charities. Charity A received $200, Charity B received $400 and Charity C received the remaining amount. What is the ratio of the amount Charity A received to the amount Charity B received to the amount Charity C received?
Answer: 2 : 4 : 3
Explanation:
Given,
A company gave a $900 to three charities,
Charity A received $200,
Charity B received $400,
Charity C received the remaining amount,
By subtracting Charity A’s and Charity B’s amount from the total amount,
900 – 600 = 300
The ratio of amount Charity A received to the amount Charity B received to the amount Charity C is 200 : 400 : 300 to get into the simplest form we get 2 : 4 : 3
Solve. Show your work
Question 3.
Ruth cuts a piece of string into three parts. Their lengths are in the ratio 2:3:5. The longest part is 35 centimeters long. How long is the shortest part?
Answer: The shortest part is 14 cm
Explanation:
Given,
The lengths are in the ratio of 2 : 3 : 5,
The longest part is 35 centimeters long,
By multiplying all the three parts with 7 we get the ratio as 14 : 21 : 35,
Therefore, it states that the longest part is 35 cm and shortest part is 14 cm.
Question 4.
The ages of three brothers, Dave, Randy, and Martin, are in the ratio 1 : 2 : 3. Dave is 7 years old. Find the total age of all three brothers.
Answer: The total age of all three brothers is 42 years
Explanation:
Given,
Dave, Randy and Martin are in the ratio of 1 : 2 : 3,
Dave is 7 years old,
By multiplying all the three ratios with 7 we get the ratio as 7 : 14 : 21,
By adding 7 with 14 we get 21,
By adding 21 with 21 we get 42 as total.
Solve. Show your work.
Question 5.
The number of movies that Lisa, Mia, and Nina have seen are in the ratio 6 : 4 : 7. Nina has seen 21 movies this year.
a. How many movies has Lisa seen?
Answer: Lisa has seen 18 movies
Explanation:
Given,
The numbers of movies that Lisa, Mia and Nina have seen are in the ratio of 6 : 4 : 7,
Nina has seen 21 movies,
By multiplying 6, 4 and 7 with 3 we get 18, 12 and 21.
b. What is the total number of movies that the three girls have seen?
Answer: The total number of movies that three girls have seen is 51
Explanation:
Given,
Lisa watched 18 movies,
Mia watched 12 movies,
Nina watched 21 movies,
By adding 18, 12 and 21 we get 51,
So the total number of movies three girls watched is 51.
Question 6.
Amin, Barb, and Curt collected seashells in the ratio of 10 : 12 : 7. Curt collected 98 seashells. How many seashells did they collect together?
Answer: They collected 406 shells together
Explanation:
Given,
Amin, Barb and Curt collected seashells in the ratio of 10 : 12 : 7,
Curt collected 98 seashells,
By multiplying 10, 12 and 7 with 14 we get 140 : 168 : 98,
By adding 140, 168 and 98 we get 406.
Solve. Show your work
Question 7.
By the end of a year, Kieran’s savings is \(\frac{9}{2}\) of Simon’s savings.
a. What is the ratio of Kieran’s savings to Simon’s savings to their total savings?
Answer: 9 : 2 : 11
Explanation:
Given,
The ratio of Kieran’s savings to Simon’s savings to their total savings is 9 : 2 : 11
b. How many times the total amount of money saved is Kieran’s savings?
Answer: 9 : 11
Explanation:
Given,
Kieran’s savings is 9,
Total amount of money is 11,
The ratio of Kieran’s savings to the total amount of money is 9 : 11
c. How many times the total amount of money saved is Simon’s savings?
Answer: 2 : 11
Explanation:
Given,
Simon’s savings is 2,
Total amount of money is 11,
The ratio of Simon’s savings to the total amount of money is 2 : 11
d. Simon saves $28 less than Kieran. How much do both of them save altogether?
Answer: They saved 44 altogether
Explanation:
Given,
Simon saves $28 less than Kieran,
Kieran and Simon’s savings are in the ratio of 9 : 2,
By multiplying 9 with 4 we get 36, 2 with 4 we get 8,
Kieran has $36 and Simon has $8,
By adding 36 with 8 we get 44.
Solve. Show your work.
Question 8.
Lita, Kala, and Rose entered a typing competition. Lita typed 2 times as fast as Kala. The ratio of the number of words Kala typed to the number of words Rose typed was 4 : 1. If Rose typed 48 words, how many words did Lita type?
Answer: Lita types 384 words
Explanation:
Given,
Lita typed 2 times as fast as Kala which is 8,
Kala and Rose typed in the ratio of 4 : 1,
By multiplying 8, 4 and 1 with 48 we get 384 : 192 : 48,
Therefore, Lita typed 384 words in a typing competition
Solve. Show your work
Question 9.
Young’s Dairy Bar produces yogurt in three flavors: vanilla, strawberry, and banana. The amount of vanilla yogurt they produce in a day is 2 times the amount of banana yogurt. The amount of banana yogurt they produce in a day is 3 times the amount of strawberry yogurt.
a. What is the ratio of the amount of vanilla yogurt to the amount of banana yogurt to the amount of strawbery yogurt it produces in a day?
Answer: The ratio of the amount of vanilla yogurt to the amount of banana yogurt to the amount of strawberry yogurt is 6 : 3 : 1
Explanation:
Given,
The amount of vanilla yogurt they produce is 2 times the amount of banana yogurt,
The amount of banana yogurt they produce is 3 times the amount of strawberry amount.
b. How many times the total amount of yogurt produced is the amount of vanilla yogurt produced?
Answer:3 / 5 times
Explanation:
Given,
The total amount of yogurt produced is by adding 6, 3 and 1 we gt 10,
The amount of vanilla yogurt produced is 6
The ratio of total amount of yogurt produced is the amount of vanilla yogurt produced is 6 / 10,
By dividing 6 / 10 with 2 we get 3 / 5.