Question

Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet. Claire paints 4 square feet per hour and has already painted 7.5 square feet. How many more hours will it take for Naomi and Claire to paint an equal total number of square feet? all i need to know is the equation

Answer 1

Answer: 2x+16.5=4x+7.5 is your equation

Explanation:

Answer 2

After four and a half hours, they will paint the same amount of area.

Explanation:

Let's call
`x` hours.

So, Naomi paints at a rate of
`2x` which means 2 square feet per hour. Additionally, we know that she already painted 16.5 square feet. All this is expressed as

`N=2x+16.5`

On the other hand, Claire paints at a rate of
`4x`, that is, 4 square feet per hour. She already painted 7.5 square feet. All this can be expressed as

`C=4x+7.5`

If we want to find the time where the paint an equal number of square feet, we just need to make then equal, that is

`N=C\\2x+16.5=4x+7.5`

Then, we solve for
`x`

`2x+16.5=4x+7.5\\16.5-7.5=4x-2x\\2x=9\\x=(9)/(2)=4(1)/(2)`

Therefore, after four and a half hours, they will paint the same amount of area.