Question

If 3/4 container of paint covers 3/5 of a wall, which statement is true? a.It takes 114 containers of paint to cover the entire wall because 34÷35=114. b.It takes 229 containers of paint to cover the entire wall because 34÷35=229. c.The entire container of paint covers 920 of the wall because 35÷34=920. d.The entire container of paint covers 23 of the wall because 35÷34=23.

Answer 1

If 3/4 of a container of paint covers 3/5 of a wall, the entire container of paint covers 5/4 of the wall.

Step-by-step explanation:

To find the answer, we need to use the concept of proportionality. If 3/4 of a container of paint covers 3/5 of a wall, we can set up a proportion: (3/4)/(3/5) = x/1. We can then cross-multiply and solve for x. Cross-multiplying gives us (3/4) * 1 = (3/5) * x. Simplifying further, we get 3/4 = 3/5 * x. Now, to solve for x, we can multiply both sides of the equation by 5/3. This cancels out the denominators, leaving us with x = (3/4) * (5/3). Multiplying these fractions gives us x = 15/12, which simplifies to x = 5/4. So, the statement that is true is that the entire container of paint covers 5/4 of the wall, which is option B.