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Jeanette wants to tile the floor of a room in her house. The square tiles measure 3/4 ft on each side. The room is 10 ft wide.
a. Write an inequality to describe how many tiles are needed to make one row of tiles across the width of the room.
b. Solve the inequality.
c. How many tiles should Jeanette buy to form one row?

Respuesta :

MissPhiladelphia
Jeanette wants to tile the floor of a room in her house. The square tiles measure 3/4 ft on each side. The room is 10 ft wide.

10 divided by 3/4 is equal to 13.33 or 13 and 3/10 tiles

She needs 13 and 3/10 tiles across the room

Answer:

a.  The inequality will be:  [tex]\frac{3}{4}x\geq 10[/tex]

b.  Solving the inequality:  [tex]x\geq 13.333...[/tex]

c.  Jeanette should buy 14 tiles to form one row.

Step-by-step explanation:

Suppose, the number of tiles needed to make one row [tex]=x[/tex]

Each square tiles measure [tex]\frac{3}{4}[/tex] ft on each side.

So, the total length of [tex]x[/tex] number of tiles [tex]=\frac{3}{4}x\ ft[/tex]

Given that, the room is 10 ft wide.

So, the inequality will be:  [tex]\frac{3}{4}x\geq 10[/tex]

Solving the above inequality.....

[tex]\frac{3}{4}x\geq 10\\ \\ 3x\geq 4(10)\\ \\ 3x\geq 40\\ \\ x\geq \frac{40}{3}\\ \\ x\geq 13.333...\\ \\ x\approx 14[/tex]

So, Jeanette should buy 14 tiles to form one row.

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