Question

Pat and his friend rent an apartment together. Their total cost to move in included first months rent, last months rent and a security deposit of $600. If Pat paid a total of $1,050 to move in, how much is his share of the rent each month?
a.
$375
b.
$450
c.
$525
d.
$750

Answer 1

Answer:

a.$375

Step-by-step explanation:

In order to calculate this you just have to keep in mind the amount of months that they paid in advance in the payment, so they had 2 months of rent fully paid in advance, we will represent that with "x", so we have 2x as the number of months, and it doesn´t say that they are paying unequal amounts of money so we will assume that they are paying half each of everything, so the equation will look like this:

$Total payment: 2 months of rent+security deposit$

If total payment= $1050 each, that means that for the two of them it´d be $2100, now we know that they paid 2 months plus a security deposit of $600, we just have to clear the payment to discover how much does the rent a month cost:

$Total payment: 2 months of rent+security deposit\\Tp=2x+600\\Tp-600=2x\\x=\frac{Tp-600}{2} \\x=\frac{2100-600}{2} \\x=750$

So one month of rent costs $750, if you divide that by 2, you get that Pat´s share of rent a month is $375.