Question

Which two bags have the same proportion of red balls?

• A. Bag A and bag C
• B. Bag A and bag B
• C. Bag B and bag C
• D. Incomplete information

Answer 1

The correct option is B Bag A and bag B

$\text{Fraction of red balls in bag A =}\frac{5}{10}$ $\text{= 0.5}$

$\text{Fraction of red balls in bag B =}\frac{2}{4}$ $\text{=}\frac{1}{2}\text{=}\frac{1\times 5}{2\times 5}\text{=}\frac{5}{10}\text{= 0.5}$

$\text{Fraction of red balls in bag C =}\frac{3}{15}$ $\text{=}\frac{1}{5}\text{=}\frac{1\times 2}{5\times 2}\text{=}\frac{2}{10}\text{= 0.2}$

Hence, bag A and bag B have red balls that represent equivalent decimals, 0.5.