Question

Your brother has $2000 saved fo a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he can spend for everything else.

Answer 1

The amount he can spend for everything else is less than or equal to 1363

The inequality is : $s\leq 1363$

Solution:

Let "s" represent the brother's money to spend

Your brother has $2000 saved for a vacation

His airplane ticket is $637

Write an expression for the total money spent by adding "s" and the price of plane ticket $ 637

We can frame a inequality as:

$s+637\leq 2000$

Here we have used "less than or equal to" symbol, because he can spent only up to 2000

Solve the inequality for "s"

$s+637\leq 2000\\\\\text{Add -637 on both sides of inequality }\\\\s+637-637\leq 2000-637\\\\s\leq 1363$

Thus the amount he can spend for everything else is less than or equal to 1363