Question

A machine fills bottles with soda at a rate of 35 per minute. When the machine was started one morning, there were 4350 filled bottles in inventory, and the factory needed to fill an order for 5000 bottles. Write and solve the inequality that could be used to determine the number of minutes it would take for there to be at least 5000 bottles available?

Answer 1

• 4350 +35m ≥ 5000
• m ≥ 18.57

Explanation:

The number on hand (4350) plus the number that can be filled in m minutes (35m) must be at least 5000:

4350 + 35m ≥ 5000 . . . . the inequality you can solve

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35m ≥ 650 . . . . . . subtract 4350

m ≥ 650/35 . . . . . divide by 35

m ≥ 18.57 . . . . . . . rounded to hundredths

It would take at least 18 4/7 minutes to fill enough bottles.