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.

Step-by-step explanation:

Let us assume that, x is the amount of key chains and y is the amount of magnets.

As Katie must purchase at least 36 gifts i.e she can buy any number of gifts greater or equal to 36, so

  ----------------------------1

Price of the magnet is 60 cents or $0.60 each and the key chains cost $2 each. As she has to spend less than $40 i.e she can spend any amount less than 40.

 -------------------------2

The system of inequalities will be

Step-by-step explanation:

Since we have given that

Cost of each key chains = $2

Cost of each magnet = 60 cents = $0.6

Let the amount of key chains be 'x'.

Let the amount of magnets be 'y'.

According to question,

She must purchase at least 36 gifts, so it becomes,

Similarly, she has to spend less than $40. So, it becomes,

Hence, the system of inequalities will be