Solve inequality problems about budgets and limits

Question 1

A lift can carry at most 500 kg. A 75 kg delivery worker is loading boxes of 28 kg each. What is the greatest number of boxes the worker can take in the lift with them?

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Question 2

Felix's first three test scores are 77, 77, 71. What is the lowest score Felix needs on the fourth test to have a mean of at least 80?

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Question 3

Nia has $42 at a fair. Entry costs $11 and each ride costs $4. What is the greatest number of rides Nia can go on?

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Question 4

A lift can carry at most 300 kg. A 73 kg delivery worker is loading boxes of 36 kg each. What is the greatest number of boxes the worker can take in the lift with them?

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Question 5

Kai's first three test scores are 51, 90, 70. What is the lowest score Kai needs on the fourth test to have a mean of at least 67?

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Question 6

Aisha has $37 at a fair. Entry costs $12 and each ride costs $1.50. What is the greatest number of rides Aisha can go on?

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Question 7

A lift can carry at most 750 kg. A 74 kg delivery worker is loading boxes of 34 kg each. What is the greatest number of boxes the worker can take in the lift with them?

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Question 8

Jamal's first three test scores are 82, 69, 68. What is the lowest score Jamal needs on the fourth test to have a mean of at least 90? (It may be more than 100; give the number anyway.)

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Question 9

Isla has $77 at a fair. Entry costs $5 and each ride costs $2.50. What is the greatest number of rides Isla can go on?

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Question 10

A lift can carry at most 300 kg. A 89 kg delivery worker is loading boxes of 32 kg each. What is the greatest number of boxes the worker can take in the lift with them?

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Question 11

Yuki's first three test scores are 93, 71, 60. What is the lowest score Yuki needs on the fourth test to have a mean of at least 88? (It may be more than 100; give the number anyway.)

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Question 12

Priya has $72 at a fair. Entry costs $8 and each ride costs $3.50. What is the greatest number of rides Priya can go on?

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Question 13

A lift can carry at most 300 kg. A 86 kg delivery worker is loading boxes of 37 kg each. What is the greatest number of boxes the worker can take in the lift with them?

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Question 14

Grace's first three test scores are 81, 63, 90. What is the lowest score Grace needs on the fourth test to have a mean of at least 76?

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Question 15

Priya has $42 at a fair. Entry costs $7 and each ride costs $4. What is the greatest number of rides Priya can go on?

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Question 16

A lift can carry at most 500 kg. A 67 kg delivery worker is loading boxes of 34 kg each. What is the greatest number of boxes the worker can take in the lift with them?

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