Question

1. United States flags come in different sizes. Standard dimensions for a flag are a length to width ratio of 1 : 9 to 1. Flag 1 has a width of 1 foot and a length of 1.9 feet and Flag 2 has a width of 2.7 feet. What is the correct length of Flag 2?
2. In last night’s baseball game, there were 4 walks and 15 hits. Express the ratio of walks to hits, written in three different ways.

3. During one day in a hardware store, 37 people came in and made a purchase, and 13 people looked around but didn’t purchase anything. Express the following in ratios: a. Purchasers to nonpurchasers b. Nonpurchasers to purchasers c. Purchasers to total customers, d. Nonpurchasers to total customers

4. Express the ratios as a fraction without reducing. a. 6 : 13 b. 7 : 40 c. 45 : 36 d. 37 : 43

5. Reduce the ratio to its simplest form. a. 17 : 102 b. 208⁄52 c. 54 to 2 d. 7 : 49

6. On a particular day, Sylvia worked 3 hours and 45 minutes, while Paul worked 4 hours and 35 minutes. What’s the ratio of Sylvia’s work time to Paul’s work time, in minutes?

7. Which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50?

8. Define the term ratio.

9. Find the missing number. a. 3 : 24 = ___ : 72 b. ___ : 18 = 5 : 9 c. 6: ___ = 36 : 36

10. Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision. a. 20-100 b. 20-40

11. A van travels 240 miles on 20 gallons of gas. How far does it travel per gallon?

12. Carlos installed 24 wooden cabinets in 8 days. On the average, how many cabinets did he install each day?

Answer 1

1. Correct length of Flag 2 if the standard ratio of length to width is 1:9 and width is 2.7 ft:

1:9=X:2.

9X=2.7

X=2.7/9

X=.3 ft

2. In last night’s baseball game, there were 4 walks and 15 hits. The ratio of walks to hits, written in three different ways are: 
4/15

4:15

0.266667

3. During one day in a hardware store, 37 people came in and made a purchase, and 13 people looked around but didn’t purchase anything. The ratios are:

a. Purchasers to nonpurchasers 37:13

b. Nonpurchasers to purchasers 13:37

c. Purchasers to total customers, 37:50

d. Nonpurchasers to total customers 13:50

4. Ratios as a fraction without reducing.

a. 6: 13    to 6/13

b. 7: 40    to 7/40

c. 45: 36  to 45/36

d. 37: 43  to 37/43

5. Ratio to its simplest form.

a. 17: 102  to 1:6

b. 208⁄52    to 4:1

c. 54 to 2    to 27:1

d. 7: 49      to 1:7

6. Sylvia worked 3 hours and 45 minutes or 225 minutes

Paul worked for 4 hours and 35 minutes or. 275 minutes

The ratio of Sylvia’s work time to Paul’s work time, in minutes is:

225:275 or 9:11

7. 100 sheets of binder paper at $2.50 is $.025/sheet while 150 sheets at $3.50 is $.023. 150 sheets at $3,50 is a better buy.

8. The term ratio in mathematics shows a relationship between two numbers as to how many times the first number contains the second.

9. Missing number:

 a. 3 : 24 = ___ : 72  (9)

b. ___ : 18 = 5 : 9     (10)

c. 6: ___ = 36 : 36    (6)

10. Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.

a. 20-100 (a person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 100 feet.)

b. 20-40 (a person with 20-40 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 40 feet.)

11. A van travels 240 miles on 20 gallons of gas. A gallon can travel (240/20) or 12 miles. 

12. Carlos installed 24 wooden cabinets in 8 days. On the average, he installs (24/8) or 3 cabinets each day?