Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 7 Practice 3 Real-World Problems: Ratios to score better marks in the exam.
Math in Focus Grade 5 Chapter 7 Practice 3 Answer Key Real-World Problems: Ratios
Solve. Show your work.
Question 1.
Ms. Grande bought 24 apples and 1 8 oranges for a party after a class play. Find the ratio of the number of apples to the total pieces of fruit Ms. Grande bought.
Answer:
24 : 42 = 4 : 7
Explanation:
Given,
Ms. Grande bought 24 apples and 18 oranges for a party,
Total number of fruits we get,
By adding 24 with 18 we get 42,
The ratio of the number of apples to the total number of number of fruits is 24 : 42,
To get into simplest form 24 and 42 can be divisible by 6 we get 4 : 7
Question 2.
There are 44 chicken and fish filets altogether in a freezer. There are 1 2 chicken filets. What is the ratio of the number of chicken filets to the number of fish filets in the freezer?
Answer:12 : 32 = 3 : 8
Explanation:
Given,
There are 44 chicken and fish fillets altogether in a freezer,
There are 12 chicken filets,
By subtracting 12 from 44 we get 32,
So there are 32 fish filets,
The ratio of number of chicken filets to the number of fish filets in the freezer is 12 : 32.
To get into simplest form 12 and 32 can be divisible by 4 we get 3 : 8.
Solve. Show your work.
Question 3.
There were 1 2 boys and 1 8 girls in a class. Then, 3 more boys joined the class and 2 girls left. What is the ratio of the number of boys to the number of girls in the class now?
Answer:15 : 16
Explanation:
Given,
There were 12 boys and 3 more boys joined the class, by adding 12 with 3 we get 15,
There were 18 girls and 2 girls left, by subtracting 2 from 18 we get 16,
The ratio of the number of boys to the number of girls in the class is 15 : 16
Question 4.
Monica had $42 and Naomi had $18 at first. Monica then gave $6 to Naomi. What is the ratio of the amount of money Monica has to the amount of money Naomi has in the end?
Answer:36 : 24 = 3 : 2
Explanation:
Given,
Monica had $42 and gave $6 to Naomi, by subtracting 6 from 42 we get 36
Naomi had $18 and by adding 18 with 6 we get 24,
The ratio of the amount of money Monica has to the amount of money Naomi is 36 : 24,
To get into simplest form 36 and 24 can be divisible by 12 we get 3 : 2.
Solve. Show your work.
Question 5.
In a competition, the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4 : 3. Julia collected 36 tickets. How many tickets did they collect altogether?
Answer:84 tickets
Explanation:
Given,
The ratio of number of tickets Mark collected to the number of tickets Julia collected is 4 : 3,
Julia collected is 36 tickets,
1 unit is equal to 12 tickets,
So 3 units is equal to 36 tickets which Julia has and 4 units is equal to 48 tickets which Mark has,
By adding 48 with 36 we get 84,
So Mark and Julia collected 84 tickets altogether.
Question 6.
The ratio of the number of stamps Calvin has to the number of stamps Roger has is 7 : 3. Roger has 18 stamps. How many stamps do they have altogether?
Answer:60 stamps
Explanation:
Given,
The ratio of the number of stamps Calvin to the number of stamps Roger is 7 : 3,
Roger has 18 stamps,
1 unit is equal to 6 stamps,
So 3 units is equal to 18 tickets which Roger has and 7 units is equal to 42 tickets which Calvin has,
By adding 42 with 18 we get 60,
So Calvin and Roger have 60 tickets altogether.
Solve. Show your work.
Question 7.
On a Saturday, the ratio of the amount of water used by Household A to the amount of water used by Household B was 13:5. Household A used 260 gallons of water for that day. Find the total amount of water used by the two households on that Saturday.
Answer: 360 Gallons
Explanation:
Given,
The ratio of the amount of water used by Household A to the amount of water used by Household B was 13 : 5,
Household A used 260 gallons of water,
1 unit is equal to 20 gallons,
So 13 units is equal to 260 gallons of water used by Household A and 5 units is equal to 100 gallons of water used by Household B,
By adding 260 with 100 we get 360,
So the total amount of water used by two households is 360 gallons of water.
Question 8.
A cleaning solution and water are mixed in the ratio 4 : 15. The amount of water in the mixture is 1,200 milliliters. What is the total volume of the mixture?
Answer:1520 milliliters
Explanation:
Given,
A cleaning solution and water are mixed in the ratio is 4 : 5,
The amount of water in the mixture is 1200 milliliters,
1 unit is equal to 80,
So 4 units is equal to 320 milliliters and 15 units is equal to 1200 milliliters,
By adding 320 with 1200 we get 1520,
So the total volume of the mixture is 1520 milliliters.