Model real situations with two equations and solve

Question 1

The sum of two numbers is 60 and their difference is 12. What is the larger number?

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Question 2

Ravi buys 3 notebooks and 2 pens for $4.60. A friend buys 2 notebooks and 5 pens for $6.55. How much is one pen? Give the amount as a number.

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Question 3

Bike hire A charges $2.50 plus $1 per hour. Bike hire B charges $6.50 plus $0.50 per hour. After how many hours do they cost the same?

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Question 4

The sum of two numbers is 68 and their difference is 18. What is the larger number?

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Question 5

Chloe buys 3 notebooks and 2 pens for $3.35. A friend buys 2 notebooks and 5 pens for $4.25. How much is one pen? Give the amount as a number.

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Question 6

Bike hire A charges $2.50 plus $3 per hour. Bike hire B charges $5.50 plus $1.50 per hour. After how many hours do they cost the same?

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Question 7

The sum of two numbers is 58 and their difference is 4. What is the larger number?

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Question 8

Sam buys 3 notebooks and 2 pens for $2.35. A friend buys 2 notebooks and 5 pens for $3.40. How much is one pen? Give the amount as a number.

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Question 9

Bike hire A charges $3 plus $2 per hour. Bike hire B charges $9 plus $1.50 per hour. After how many hours do they cost the same?

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Question 10

The sum of two numbers is 40 and their difference is 12. What is the larger number?

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Question 11

Zara buys 3 notebooks and 2 pens for $4.85. A friend buys 2 notebooks and 5 pens for $6.35. How much is one pen? Give the amount as a number.

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Question 12

Bike hire A charges $1.50 plus $2.50 per hour. Bike hire B charges $6.50 plus $1.50 per hour. After how many hours do they cost the same?

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Question 13

The sum of two numbers is 39 and their difference is 15. What is the larger number?

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Question 14

Kofi buys 3 notebooks and 2 pens for $5.95. A friend buys 2 notebooks and 5 pens for $8. How much is one pen? Give the amount as a number.

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Question 15

Gym A costs 31 plus 5 per visit. Gym B costs 16 plus 10 per visit. After how many visits do they cost the same?

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Question 16

The sum of two numbers is 50 and their difference is 6. What is the larger number?

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