Linear equations-2

1. A store sells pens for $5 each and pencils for $4 each. If John buys a total of 10 items for $44, how many pens did he buy?

• 6
• 4
• 3
• 1
• 5

2. For a party, Nick spends a total of $200 on 125 sandwiches, which consists of single sandwiches and double sandwiches only. If single sandwiches cost $1 each and double sandwiches cost $2 each, how many double sandwiches did Nick buy for the party?

• 75
• 50
• 100
• 85
• 90

3. It is given that { (x + y) / y } = 5. Quantity A : the value of { (x + 3y) / y} Quantity B : 7

• A
• B
• C
• D

4. A certain number of candies is distributed equally among Alice, Ben, Cane and Dino. Alice further distributes 3/4 of his candies equally among the other three people. Later, Ben gives half of his candies to Dino. What fraction of the total number of candies does Dino have in the end?

• 15/8
• 5/16
• 7/16
• 15/32
• 17/32

5. A water bottle costs $x and a cola bottle costs $y. Ratio of cost of 2 bottles of water and 5 bottles of cola to 6 bottles of water and 15 bottles of cola is 1 : 3. Quantity A: Cost of 1 bottle of water Quantity B: Cost of 1 bottle of cola.

• A
• B
• C
• D

6. A watch dealer has a total of N watches in his stock on Monday. He sold half of the stock of watches on Tuesday. However, 15 of the sold watches were returned on Wednesday. The number of watches in stock on Thursday is N - 28. What is the value of N? (Assume there were no other watches sold or added to the stock)

• 29
• 43
• 71
• 86
• 101

7. Today Tom celebrates his 15th birthday, his father celebrates his 48th birthday. After how many years would Tom and his father celebrate their birthdays such that their combined age will be 83 years?

• 5
• 7
• 10
• 15
• 20

8. In a shop, shirts were priced at $60 each, however if you buy one shirt you get a flat discount of 20% and you can buy a pack of three shirts at the price of two. If Mr.William brought a total of 10 shirts, what is the minimum amount he could have paid at the shop?

• $360
• $408
• $402
• $468
• $480

9. A cake costs 4 times the cost of a pastry. If the cost of 11 pastries and 3 cakes is $69, then how much would 15 pastries cost more than 2 cakes?

• $9
• $11
• $15
• $21
• $33

10. A theater artist charges $150 per show for a 4-hour show and $85 for a 2-hour show. Last week the artist performed 5 less 4-hour shows than 2-hour shows. The artist earns $1835 as his income. Quantity A: The total number of 4-hour shows performed by the artist. Quantity B: 11

• A
• B
• C
• D