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Simple Algebra

1. A goat eats 214 kg. of hay in 60 days, while a cow eats the same amount in 15 days. In how many days could they eat 214 kg. of hay together?

1. 37.5
2. 75
3. 12
4. 15
5. 8

2. Ann went from point A to point B. Simultaneously Peter went from B to A. In 6 hours they met and in another 3 hours Peter reached B. How many hours did Ann travel from A to B?

1. 18
2. 9
3. 4.5
4. 15
5. 12

3. In a small village called “Rose" there are 9 families with 3 children, 8 families with 2 children and 4 families having 5 children. What is the average number of children in a family?
1. 2.5
2. 2.8
3. 3
4. 3.5
5. 4

4. The price of the book was decreased by 20% two times in one year. It now costs 180$ less than the original price. What was the original price?
1. 252
2. 259.2
3. 450
4. 500
5. 900

5. A local football team season ticket sales have gone up 10% in the current season, reaching 880 tickets. How many season tickets were sold in the last season?
1. 700
2. 800
3. 880
4. 928
5. 968

6. A dress costs 100$. It’s price went up by 10% and then a 10% discount was offered. The current price of a dress is

1. $90
2. $99
3. $100
4. $110
5. $111

7. A dress costs $100. 20% percent discount was offered – and then the price was increased by 20%. The current price of a dress is

1. $80
2. $88
3. $96
4. $100
5. $120

8. A dress costs $X. 30% percent discount was offered – and then the price was increased by 30%. The current price of a dress is

1. $ .49X
2. $ .51X
3. $ .77X
4. $ .91X
5. $X

9. A dress costs $100. The price went up by Y% - and then Y% discount was offered. The current price of a dress is

1. $ (100-Y2)
2. $ (100 – Y)
3. $ (100 x (1-0.0001y2))
4. $ (100 x (y-1))
5. $ (100 x (100-y))

10. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?

1. A. 5/p
2. B. p - 5
3. C. p + 5
4. D. p/5
5. E. 1- p + 5

11. 2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

1. A. 2 hours and 24 minutes
2. B. 3 hours and 12 minutes
3. C. 3 hours and 44 minutes
4. D. 4 hours and 10 minutes
5. E. 4 hours and 33 minutes

12. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?

1. A. $280.90
2. B. $287
3. C. $292.50
4. D. $306
5. E. $333.89

13. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?

1. A. $14,310.40
2. B. $14,990.90
3. C. $15,290.70
4. D. $15,737.50
5. E. $16,935.80

Answer Key

1. C
2. E
3. C
4. D
5. B
6. B
7. C
8. D
9. C
10. A
11. A
12. D
13. D

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