Question

A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and $4 per pint of paint. Ari bought the same number of tiles and pints of paint at both stores, costing him $26 at the first store and $18 at the second store, before tax. Which system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store?

Answer 1

2t + 3p = 26
t + 4p = 18

Answer 2

`2x+3y=26\\\\x+4y=18`

Explanation:

Let x be the number of tiles, and y be the number of pints of paint that Ari bought at each store.

According to the question, the equation for first store would be:

`2x+3y=26`

The equation for second store would be:

`x+4y=18`

Hence, the system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store is given by :

`2x+3y=26\\\\x+4y=18`