Yashaz91 wrote:

30 cans of paint A or 50 cans of paint B are required to paint a wall. If x cans of paint A and 30 cans of paint B are used to paint the same wall,what is the value of X?

A. 9

B. 12

C. 15

D. 18

E. 24

Think in terms of

one wall.

1) 30 cans of B cover what portion of 1 wall?ONE wall requires 50 cans of paint B

Only 30 cans were used.

\(\frac{50}{50}\) cans used = 1 whole wall painted

\(\frac{30}{50}\) cans used = \(\frac{3}{5}\) of one wall is painted

2) What portion of the wall is not painted?

\((1W-\frac{3}{5}W)=\frac{2}{5}W\)

3) How many cans of A are needed?

One wall requires 30 cans of A.

\(\frac{2}{5}\) of 1 wall requires how many cans of A?

If 30 cans of A can paint one whole wall, then \(\frac{2}{5}\) of one wall will require \(\frac{2}{5}\) the amount of paint.*

\((\frac{2}{5}*30)=12\) cans of A

Answer B

*\(\frac{30}{1}=\frac{A}{(\frac{2}{5})}\)

\(A=(30*\frac{2}{5})=12\)
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