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Eva transports tents across a lake using a boat that can hold a maximum of 1,000 pounds. Eva weighs 100 pounds, and each tent weighs 50 pounds. The inequality below can be used to find the number of tents, t , the boat can hold with Eva onboard.

50 t + 100 ≤ 1, 000



What is the maximum number of tents the boat can hold with Eva onboard?


17


18


19


22

User Zio
by
8.9k points

1 Answer

4 votes

Final answer:

The maximum number of tents that can be transported in the boat with Eva, who weighs 100 pounds, without exceeding the 1,000-pound limit, is 18.

Step-by-step explanation:

The student's question is about calculating the maximum number of tents Eva can carry in her boat alongside her own weight. Here's how you solve it:

  • First, we have the inequality 50t + 100 ≤ 1000, where t represents the number of tents.
  • Subtract 100 from both sides to isolate the term with t: 50t ≤ 900.
  • Divide both sides by 50 to solve for t: t ≤ 900 / 50.
  • Calculate the quotient: t ≤ 18.

So the maximum number of tents the boat can hold with Eva onboard is 18.

User Bladepit
by
8.8k points
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