Study Guide CH 4 A Ratio No B constructed yet.
Write the ratios.
1. Jay bought 15 radishes and 11 cucumbers.
The ratio of the number of radishes to the number of cucumbers is
_______ : _______
2. Kay has 5 cups of apple juice and 13 cups of orange juice.
The ratio of the number of cups of apple juice to the total number of cups is
_______ : _______
State whether each of the following can be expressed as a ratio.
3. 9 ft and 6 inches. _______
4. 12 kg and 3 m2 _______
Write the missing term in each pair of equivalent ratios.
5. 8:5 = ___:30
6. 63:72 = 7:____
Write the ratio in simplest form.
7. 34:14 = __________
8. 58:86 = __________
Solve.
9. The ration of the length to the width of a rectangle is 16:9. How many times the width of the rectangle is the length of the rectangle? _______________
10. The ration of the number of books to the number of magazines is 11:8. What fraction of the materials are magazines? _____________________
Solve. Show your work.
11. Ali has 64 marbles. Of the marbles, 48 are red and the rest are black. What is the ratio of the number of black marbles to the number of red marbles?
12. At a charity function, $135,369 was donated by three companies A, B, and C in the ratio of 7:5:9. How much money did Company A donate?
13. A dog, a fox and a rabbit weigh a total of 92 pounds. The ratio of the weight of the fox to the weight of the dog is 3 : 8. The weight of the dog is 64 pounds. What is the weight of the rabbit?
14. The ratio of the number of teachers to the number of students in a school is 4:40. The ration of the number of male students to the number of female students is 2:6. There are 600 female students. How many teachers are there?
15. At a school event there were 80 girls. The ratio of the number of girls to the number of boys was 4:5. After some time, some boys arrived and the ratio became 2:3 How many boys arrived?
ANSWER KEY:
1. 15:11
2. 5:18
3. yes
4. no
5. 48
6. 8
7. 17:7
8. 29:43
9. length is 1 7/9 times the width.
10. 8/19
11. 16:48 = 1:3
12. A:Total is 7: 21 so A is 1/3 of total. 135,369/3 = $45,123.00
13. fox to dog = 3:8 = ? : 64 so, fox = 24 (x8). Fox + dog = 64 + 24 = 88.
Rabbit = 92(Total) - 88(Other animals) = 4 lbs.
14. T:S = 4:40; S- m:f = 2:6 or ? :600 6 x 100= 600 so 2x 100 = 200 males
Total students = 200 + 600 = 800.
T:S= 4:40 = ? :800. 40 x 20 = 800 so 4 x 20 = 80 Teachers.
15. 80 girls. g:b = 4:5 or 80:? 4 x 20 = 80 so 5 x 20 =100 boys.
2:3 when girls is 80 means 2X40 = 80 so 3 x 40 =120 boys.
120 boys - 100 boys originally = 20 boys arrived.