amber wants to put tile on the back special for kitchen counter she will need 36 square feet of tile.she will use basic tile that cost $8 per square foot and decorative tiles that cost $20 per square foot how many square feet of each tile should she use so that all overall cost of backsplash will be $10 per square foot?

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JeanaShupp JeanaShupp · Answer 1 · 2019-01-28T09:04:31+01:00

Answer: Amber use 30 feet of basic tiles and 6 feet of decorative tiles.

Step-by-step explanation:

Let x be the foot of basic tiles and y be the foot of decorative tiles.

Now, according to the question, we have the following equations

[tex]x+y=36\\y=36-x\ .......(1)\\\\8x+20y=36\times10\\2x+5y=90.......(2)\ \ \ [\text{divide equation by 4}][/tex]

Put y=36-x in (2), we get

[tex]2x+5(36-x)=90\\\Rightarrow2x+180-5x=90\\\Rightarrow-3x=-90\\\Rightarrow\ x=30\\\\\Rightarrow\ y=36-30=6[/tex]

Hence, Amber use 30 feet of basic tiles and 6 feet of decorative tiles.