Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $10. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the
cost to be the same at both stores?

If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Explanation:

Let the number of tiles be

x

At the first shop: Cost =

$

0.79

×

x

+

$

24

=

0.79

x

+

24

At the second shop: Cost =

$

1.19

×

x

=

1.19

x

If the cost is the same:

1.19

x

=

0.79

x

+

24

←

solve for x

1.19

x

−

0.79

x

=

24

0.4

x

=

24

x

=

24

0.4

x

=

60

tiles

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

47 - 90 = 43

43 - 180 = x

x = 137