Question

Carli is painting all the bedrooms in her house the same color paint. She has 3 full walls and another of a wall left to paint. However, she has used almost all of her paint and only has of a gallon left. (6.NS. B. 3) 3 a. How much paint can she use on each wall in order to have enough to paint the remaining 3 walls? 403 3 b. How much paint will be used on the of a wall? 4

Answer 1

a) Amount of paint she can use on each wall is 1/10

b) Amount of paint that will be used for 3/4 wall is 3/40

Step-by-step explanation:

a) Total wall to be painted = 3 walls + 3/4 of a wall = 3 3/4 walls

Total wall to be painted =15/4

Amount of paint left to be used = 3/8

To get the number of paint she can use on each wall, we would divide the number of paint left by the total walls

`\begin{gathered} \frac{(3)/(8)}{3\text{ 3/4}}=((3)/(8))/((15)/(4)) \\ =\text{ 3/8 }/\text{ 15/4} \\ we\text{ apply the KCF: k}eep,\text{ change, flip} \end{gathered}`

We keep the first fraction, change the sign to multiplication and flip the 2nd fraction.

`\begin{gathered} \text{Flip 2nd fraction = flip 15/4= 4/15} \\ \text{Change sign} \\ (3)/(8)*(4)/(15)=(3*4)/(8*15) \\ =\text{ }(1)/(10) \end{gathered}`

The number of paint she can use on each wall is 1/10

b) If the number of paints for each wall = 1/10

1 wall = 1/10 paint

let the number of paints for 3/4 = y

1 walls = 1/10 paint

3/4 wall = y

cross multiply:

y(1) = 3/4 (1/10)

y = 3/40

Amount of paint that will be used for 3/4 wall is 3/40