Rosario is working on an 8-foot-by- 8-foot floor covered with 64 white tiles. She replaces x white tiles with blue tiles. After she's finished, there are 40 white tiles left. Write and solve an equation to find the number of blue floor tiles Rosario used.​

Answers

Answer 1

Answer: 24 blue tiles.

Step-by-step explanation:

Initially, the floor is (completely) covered with 64 white tiles.

Now we remove x white tiles, and we replace them with blue tiles.

Then if we removed x white tiles, now the number of white tiles is:

64 - x

And we know that after Rosario finishes the work, there are 40 white tiles left in the floor.

Then:

64 - x = 40

now we can solve this for x.

64 - 40 = x

24 = x

this means that 24 blue tiles were used.

Answer 2

Linear equation is the equation in which the highest power of the unknown variable is 1. Linear equations are used to solve the condition based problems. The number of the blue floor tiles is 24.

Given information-

Rosario is working on an 8-foot-by- 8-foot floor.

The floor is covered with 64 white tiles.

Linear equation

Linear equation is the equation in which the highest power of the unknown variable is 1. Linear equations are used to solve the condition based problems.

As she replaces x tiles with blue tiles, therefore the number of the white tiles remain say y,

[tex]y=64-x[/tex]                 ......1

Suppose the above equation is equation number 1.

Now after she's finished the work, there are 40 white tiles left. This 40 tiles are replaced by the blue tiles. As we had supposed the number of reaming tiles is y and the value of remaining tiles is 40. Thus,

[tex]y=40[/tex]

Put this value of y in the equation 1. Thus,

[tex]40=64-x[/tex]

Solve for x, we get,

[tex]x=64-40\\ x=24[/tex]

Hence the number of the blue floor tiles is 24.

Learn more about the linear equation here;

https://brainly.com/question/11897796


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Answers

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