Question

Greg needs at least $1.60 in stamps to mail a package. He has 28cent stamps and 4cent stamps. He can use no more than twenty 4cent stamps as he only has one book left.
Write a system of linear inequalities to represent this situation.

Answer 1

19 4-cent stamps and 3 28-cent stamps should be used.

Given that Greg needs at least $ 1.60 in stamps to mail a package, and he has 28cent stamps and 4cent stamps, and he can use no more than twenty 4cent stamps as he only has one book left, to determine how many stamps to use should be made the following calculation, through a linear function:

• (0.04 x 20) + 0.28X = 1.60
• 0.80 + 0.28X = 1.60
• 0.28X = 1.60 - 0.80
• 0.28X = 0.80
• X = 0.8 / 0.28
• X = 2.85

• (3 x 0.28) + 0.04X = 1.60
• 0.84 + 0.04X = 1.60
• 0.04X = 1.60 - 0.84
• 0.04X = 0.76
• X = 0.76 / 0.04
• X = 19

Therefore, 19 4-cent stamps and 3 28-cent stamps should be used.

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