Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house. How many rooms will she be able to paint if she shares the paint equally in each room?

3 rooms can be fully painted if the paint is shared equally.

As well as 2/3 of another room.

Step-by-step explanation:

Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house.

Hence:

1 ½ = 1 room

10 ½ = x

Cross Multiply

x × 1 ½ = 10 ½ × 1

x = 10 ½ × 1/1 ½

x = 11/2 ÷ 3/2

x = 11/2 × 2/3

x = 11/3

x= 3 2/3 rooms

How many rooms will she be able to paint if she shares the paint equally in each room?

Hence, she will be able to paint 3 rooms fully as well as 2/3 of another room.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,