Ratio and proportion

1. In a group, the ratio of footballers to cricketers is 4:1. If the number of footballers is 160, find the total number of people in that group.

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

2. In a bag, there are blue and black marbles and no marble with any other color. The ratio of blue to black marbles is 3:8. Select that option which does not represent the ratio of blue to black marbles.

• 21 : 56
• 33: 88
• 12: 40
• 3/8
• 45/ 120

Tags

CCSS.HSA.SSE.A.1

3. In an art shop, color X is obtained by mixing 3 parts of red to 5 parts of blue. Color Y is obtained by mixing 5 parts of red to 3 parts of blue. We are given 24 liters of color Y. How many liters of blue paint should we add to color Y to change it to X?

• 16
• 24
• 15
• 20
• None of the above

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

4. The ratio of men to women in a certain college is given to be 3:7. Which of the following could be possibly the total number of people in that college?

• 110
• 40
• 8790
• 7860
• 21

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.2

5. In a furniture shop, for every 5 chairs, there was one table. Also, all the furniture are either tables or chairs. The owner of the shop decides to exchange 10 units of chair for 10 units of tables. After this exchange, the ratio of tables to chairs became 1 :4. What was the number of tables after this exchange?

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

6. In an office, one in every three people are painters. Find the ratio of non-painters to painters.

• 1:2
• 1:3
• 2:1
• 2:3
• 5:2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

7. In a certain higher secondary school, 80% percent of the applications are rejected and only 20% of them are selected. Quantity A: The ratio of acceptance to rejection ratio Quantity B: The ratio of rejected to the total number of applications.

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

8. There are two types of sweets made in a sweet shop. Sweet X is made my mixing 3 parts of flour to 5 parts of sugar and sweet Y is made by mixing 7 parts of flour to 9 parts of honey. Find the ratio of flour : honey : sugar after both the sweets are mixed to create a new sweet named z.

• 10 : 9 :5
• 9 : 5 : 10
• 5: 9 : 10
• 5 : 10 : 9
• 10 : 5 : 9

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.2

9. A certain alloy is made of aluminum, copper and zinc in the ratio of 7 : 4 :1. Another alloy can be made from this alloy if we double the ratio of aluminum to copper and halve the ratio of aluminum to zinc. If we have 40 kgs of copper for the new alloy, how many kgs of zinc will we need to make that alloy?

• 70
• 40
• 50
• 30
• 20

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6