Question

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

Answer 1

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.