Simplifying Ratios in Real-Life Quiz � Apply Ratio Concepts (7.RP.A.2)

1) A school has 45 boys and 60 girls. What is the simplified ratio of boys to girls?

2:3

3:4

4:5

5:6

Divide both by 15 → 45 ÷ 15 = 3, 60 ÷ 15 = 4.

Explanation

Divide both by 15 → 45 ÷ 15 = 3, 60 ÷ 15 = 4.

2) A box contains 20 blue pens and 50 black pens. Simplify the ratio of blue to black pens.

2:3

2:5

4:5

5:7

Divide both by 10 → 20 ÷ 10 = 2, 50 ÷ 10 = 5.

Explanation

Divide both by 10 → 20 ÷ 10 = 2, 50 ÷ 10 = 5.

3) The ratio of 150:200 simplifies to 3:4.

True

False

Divide both by 50 → 150 ÷ 50 = 3, 200 ÷ 50 = 4.

Explanation

Divide both by 50 → 150 ÷ 50 = 3, 200 ÷ 50 = 4.

4) In a fruit basket, there are 36 apples and 48 oranges. What is the simplified ratio of apples to oranges?

2:3

3:4

4:5

6:8

Divide both by 12 → 36 ÷ 12 = 3, 48 ÷ 12 = 4.

Explanation

Divide both by 12 → 36 ÷ 12 = 3, 48 ÷ 12 = 4.

5) A sports team has 18 wins and 12 losses. Simplify the ratio of wins to losses.

2:3

3:2

3:4

4:5

Divide both by 6 → 18 ÷ 6 = 3, 12 ÷ 6 = 2.

Explanation

Divide both by 6 → 18 ÷ 6 = 3, 12 ÷ 6 = 2.

6) Which of the following ratios is equivalent to 5:8?

10:16

15:24

20:32

All of the above

All are multiples of 5:8.

Explanation

All are multiples of 5:8.

7) The cost of 6 pencils is $12, and the cost of 8 pens is $32. What is the simplified ratio of the cost of one pencil to one pen?

2:3

3:4

3:8

3:16

Pencil = $2 each, Pen = $4 each → ratio 2:4 = 1:2 = 3:8 when scaled.

Explanation

Pencil = $2 each, Pen = $4 each → ratio 2:4 = 1:2 = 3:8 when scaled.

8) Simplify the ratio 84:126.

2:3

3:4

4:5

6:9

Divide both by 42 → 84 ÷ 42 = 2, 126 ÷ 42 = 3.

Explanation

Divide both by 42 → 84 ÷ 42 = 2, 126 ÷ 42 = 3.

9) The ratio of 28:35 is the same as 4:5.

True

False

Divide both by 7 → 28 ÷ 7 = 4, 35 ÷ 7 = 5.

Explanation

Divide both by 7 → 28 ÷ 7 = 4, 35 ÷ 7 = 5.

10) In a class, the ratio of boys to girls is 5:7. If there are 35 girls, how many boys are there?

20

25

30

35

Ratio 5:7, girls = 35 → each part = 5. Boys = 5 × 5 = 25.

Explanation

Ratio 5:7, girls = 35 → each part = 5. Boys = 5 × 5 = 25.

11) A recipe uses 300 g of flour and 500 g of sugar. Simplify the ratio of flour to sugar.

2:3

3:5

4:5

5:6

Divide both by 100 → 300 ÷ 100 = 3, 500 ÷ 100 = 5.

Explanation

Divide both by 100 → 300 ÷ 100 = 3, 500 ÷ 100 = 5.

12) Simplify the ratio 63:81.

3:4

5:6

7:9

9:12

Divide both by 9 → 63 ÷ 9 = 7, 81 ÷ 9 = 9.

Explanation

Divide both by 9 → 63 ÷ 9 = 7, 81 ÷ 9 = 9.

13) 12:20 is equivalent to 3:5.

True

False

Divide both by 4 → 12 ÷ 4 = 3, 20 ÷ 4 = 5.

Explanation

Divide both by 4 → 12 ÷ 4 = 3, 20 ÷ 4 = 5.

14) A train travels 120 km in 3 hours. Simplify the ratio of distance to time.

30:1

40:1

50:1

60:1

120 ÷ 3 = 40. Ratio = 40:1.

Explanation

120 ÷ 3 = 40. Ratio = 40:1.

15) Simplify the ratio 144:180.

2:3

3:4

4:5

5:6

Divide both by 36 → 144 ÷ 36 = 4, 180 ÷ 36 = 5.

Explanation

Divide both by 36 → 144 ÷ 36 = 4, 180 ÷ 36 = 5.

Ratios in Context

1) A school has 45 boys and 60 girls. What is the simplified ratio of boys to girls?

2) A box contains 20 blue pens and 50 black pens. Simplify the ratio of blue to black pens.

3) The ratio of 150:200 simplifies to 3:4.

4) In a fruit basket, there are 36 apples and 48 oranges. What is the simplified ratio of apples to oranges?

5) A sports team has 18 wins and 12 losses. Simplify the ratio of wins to losses.

6) Which of the following ratios is equivalent to 5:8?

7) The cost of 6 pencils is $12, and the cost of 8 pens is $32. What is the simplified ratio of the cost of one pencil to one pen?

8) Simplify the ratio 84:126.

9) The ratio of 28:35 is the same as 4:5.

10) In a class, the ratio of boys to girls is 5:7. If there are 35 girls, how many boys are there?

11) A recipe uses 300 g of flour and 500 g of sugar. Simplify the ratio of flour to sugar.

12) Simplify the ratio 63:81.

13) 12:20 is equivalent to 3:5.

14) A train travels 120 km in 3 hours. Simplify the ratio of distance to time.

15) Simplify the ratio 144:180.