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Liability insurance covers any damage you might do to the apartment building. Contents insurance covers all your belongings. Your landlord requires that you purchase Liability insurance, but he will pay 20% of the cost it you buy both Liability and Contents insurance. it you buy both at the same time the cost is $45 per month. What is the cost to you per month it you buy both and take advantage of the landlord's offer?



Answer :

If the landlord pays 20% of the cost for both Liability and Contents insurance, and the total cost for both insurances is $45 per month when purchased together, then you need to calculate how much you have to pay after the landlord's contribution.

Let \( x \) be the cost of Liability insurance and \( y \) be the cost of Contents insurance.

Since the landlord pays 20% of the total cost, you pay 80% of the total cost.

So, the cost to you per month for both insurances is:

\[ 0.8 \times \$45 = \$36 \]

Therefore, if you buy both insurances and take advantage of the landlord's offer, the cost to you per month is $36.

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