Question

A small cruise ship can hold up to $500$ people. There are $115$ crew members on board the ship.
(A). Write and solve an inequality that represents the additional numbers of people that can board the ship.
(B). Can $385$ more people board the ship? Explain.

Answer 1

Step 1 : Given in the question

A small cruise ship can hold up to $500$ people

There are $115$ crew members on board the ship

Step 2 : Write the inequality

Let the additional number of students on ship $=x$

Then, total number of people on ship would be $=x+115$

As given total capacity $=500$

So the inequality is:

$\Rightarrow 115+x\le 500$

Step 3. Solve the inequality

Inequality for given condition is $115+x\le 500$

Solving this we get the number of people:

$\Rightarrow 115+x\le 500$

$\Rightarrow 115+x-115\le 500–115$ [ Subtract $115$from both sides ]

$\therefore x\le 385$

Hence, $385$ more people can board the ship