Question

Katie is buying souvenir.gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magnets are on sale for 60 cents each and the key chains cost $2 each. She must purchase at least 36.gifts but has to spend less than $40. Let x represent the amount of key chains and y represent the amount of magnets. Model the scenario with a system of inequalities.

Answer 1

x + y > = 36 (thats greater then or equal)
2x + 0.6y < 40

Answer 2

`x+y\geq 36`

`2x+0.6y<40`

Explanation:

The magnets are on sale for 60 cents each.

The key chains cost $2 each.

Katie must purchase at least 36 gifts but has to spend less than $40.

Now let x represent the amount of key chains.

Let y represent the amount of magnets.

So, the system of inequalities that form are:

`x+y\geq 36`

And

`2x+0.6y<40`