megan and her little sister nora, counted their halloween candy after trick or treating. They love taffy and wanted to know who collected more taffy pecies compared to the rest of the candy. in megans bag 20 out of the 50 candy pecies were taffy. in noras bag 11 out of the 25 pieces were taffy. who go the greater ratio of taffy to total candy pieces?

a. megan got the greater ratio
b. nora got the greater ratio
c. neither. the girls got the same ratio

1 answer

To find out who had the greater ratio of taffy to total candy pieces, we need to calculate the ratio for both Megan and Nora.

Megan's Ratio:

  • Taffy pieces: 20
  • Total candy pieces: 50

Megan's ratio of taffy to total candy is: \[ \frac{20}{50} = \frac{2}{5} = 0.4 \]

Nora's Ratio:

  • Taffy pieces: 11
  • Total candy pieces: 25

Nora's ratio of taffy to total candy is: \[ \frac{11}{25} = 0.44 \]

Now we compare the two ratios:

  • Megan: 0.4
  • Nora: 0.44

Since 0.44 is greater than 0.4, Nora has the greater ratio of taffy to total candy pieces.

Therefore, the answer is: b. nora got the greater ratio.