antoxavier wrote:
Diane find 2 and a half cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
A. 5
B. 7 and a half
C. 10
D. 12 and a half
E. 15
Proportion with multiplier approachRemaining work = \(\frac{5}{3}\)
Let x = amount of paint needed
\(\frac{\frac{5}{2}}{\frac{1}{3}}\) = \(\frac{x}{\frac{5}{3}}\)
Use the multiplier for the denominator:
\(\frac{1}{3}\) ---> \(\frac{5}{3}\) means \(\frac{1}{3}\) was multiplied by 5.
So multiply the numerator by 5.
\(\frac{5}{2}\) * 5 = \(\frac{25}{2}\) or 12\(\frac{1}{2}\)
Answer D
Straight proportion methodRemaining work: \(\frac{5}{3}\)
Let x = amount of paint needed
\(\frac{\frac{5}{2}}{\frac{1}{3}}\) = \(\frac{x}{\frac{5}{3}}\)
\(\frac{1}{3}\)x = \(\frac{5}{2}\) * \(\frac{5}{3}\)
\(\frac{1}{3}\)x = \(\frac{25}{6}\)
x = \(\frac{25}{6}\) * 3
x = \(\frac{25}{2}\) or 12\(\frac{1}{2}\)
Answer D
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