Homework #4


Complete the ratio:

1) 5/6 = ?/12

2) ? : 4 = 12 : 6

3) 3/4 = ?/60

4) 7/8 = 8/?

5) 5/6 = 43/?

6) 5 : 9 = ? : 81

7) 12 : 14 : 20 = ? : 42 : ?

Write each sentence as a ratio:

8) 2 eggs for each cup of milk.

9) 2 teachers for every 9 students.

10) 30 miles per hour.

11) 1 head for every tail.

12) 3 parts concentrate to 8 parts water to 2 parts sugar.


Word Problems:


13) The ratio of men to women at a meeting is 4 to 7. If there are 16 men at the meeting, how many women at the meeting?

14) Pam's car gets 24 miles per gallon of gas. If she drove 144 miles, how many gallons of gas did she use?

15) A cookie recipe calls for 5 tablespoons of butter and makes 6 cookies. If we have 20 tablespoons of butter, how many cookies can we make. How much butter would it take to make 30 cookies?

16) On a blueprint of the Smith house, each 1/4 inch on the drawing is equivalent to 1 foot. If the drawing shows that the doorways are 7/8 of an inch wide, how wide are they in reality?

17) "Ed's Used Cars" sells 2 convertibles for every 46 sedans. If Ed sold 384 cars all together (convertables and sedans), how many convertibles did he sell?

18) If at a certain office there are 6 clerks for every 2 executives, and there are 200 people total (clerks and executives), how many executives are there?

Averages:

19) Find the average of 3, 5, 4, 2, 1, and 1.

20) Find the average of 45, 23, 54, 103, and 44.

21) Find the average of 65, 66, and 65, and 65.

Word Problems:

22) Dan bought 4 boxes of crackers at the market, and their prices were $4.11, $3. 46, $ 1.99, and $ 2.88. What was the average price per box?

23) The chart below shows the price per gallon of gas in the summer. What is the average price of gas in the summer?

June - $2.45
July - $3.54
August - $ 3.70

24) Paula drove 50 miles per hour for 3 hours and the 40 miles per hour for 2 hours. What was her average speed for the entire trip?

25) Bill calculated that his average test score from the 8 tests of the school year was 84. Then he realized he had accidentally divided by 7 instead of 8. What is his real average test score?