# Math Help - finding cost

1. ## finding cost

Sara wants to paint her home. She can buy three cans of the same-priced paint and three identical brushes for $21, or she can buy four cans of the same paint and one brush for$22. How much does a can of paint cost?
Which one option is true :

A.
$2 B.$3
C.
$4 D.$5
E.
$6 2. Originally Posted by mths Sara wants to paint her home. She can buy three cans of the same-priced paint and three identical brushes for$21, or she can buy four cans of the same paint and one brush for $22. How much does a can of paint cost? Which one option is true : A.$2
B.
$3 C.$4
D.
$5 E.$6

Let x denote the price of one can of paint and y the price of one brush.

Then you can set up a system of simultaneous equations:

$\left|\begin{array}{l}3x+3y=21 \\ 4x+y=22\end{array}\right.$

Now solve for x. I've got x = 5, so it's answer D.