Respuesta :
As given,
Let the number of black tiles be represented by = x
Let the number of gray tiles be represented by = y
As 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]
The cost will be $145 and the black stones and grey stones tiles will be 21 and 10 respectively
x = black stone tiles
y = grey stone tiles
Black stone tiles cost $5 each and grey stone tiles cost $4 each. Therefore,
cost of black stone tiles = 5x
cost of grey stone tiles = 4y
Inequality
Inequality are represented by <, >, ≤, or ≥.
He wants to spend up to $150 for his project. Therefore,
- 5x + 4y ≤ 150
He wants the number of grey stone tiles to be less than half the number of black stone tiles. Therefore,
- y < 1 / 2 x
Therefore, the combine inequality is as follows;
y < 1 / 2 x
5x + 4y ≤ 150
Therefore, 5x+2x < 150 now less than, not equal to 7x < 150
x < 21
105+4y ≤ 150
4y ≤ 45
y ≤ 11
21 and 10 works for both. Cost is $105+40 or $145.
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