Question

Claire is painting her bedroom. She used 4 liters of paint to cover 2 2/3 of walls. How many liters of paint are needed for 1 wall?

Answer 1

`(3)/(2)` liters of paint are needed for 1 wall

Solution:

Given that Claire used 4 liters of paint to cover
`2(2)/(3)` of walls

To find: Liters of paint needed for 1 wall

Let "x" be the liters of paint needed for 1 wall

From given question,

4 liters of paint =
`2(2)/(3)` of walls

"x" liters of paint = 1 wall

This forms a proportion and we can solve the sum by cross multiplying the terms

`x * 2(2)/(3) = 4 * 1\\\\x * (3 * 2 + 2)/(3) = 4\\\\x * (8)/(3) = 4\\\\x = 4 * (3)/(8)\\\\x = (3)/(2)`

Thus
`(3)/(2)` liters of paint are needed for 1 wall