MATH SOLVE

2 months ago

Q:
# Adam will use x black stone tiles and y gray stone tiles to cover his patio floor. Black stone tiles cost $5 each and gray stone tiles cost $4 each. He can spend up to $150 on his project, and he wants the number of gray stone tiles to be less than half the number of black stone tiles.

Accepted Solution

A:

As given, Let the number of black tiles be represented by = xLet the number of gray tiles be represented by = yAs the cost of one black tile is $5 and one gray tile is $4 and Adam can spend only up to $150, inequality becomes, [tex]5x+4y\leq 150[/tex]Also, he wants the number of gray stone tiles to be less than half the number of black stone tiles, so equation becomes, [tex]y<\frac{x}{2}[/tex]