For Aliyah’s graduation party, her mom made her a chocolate cake. Her siblings ate 14 of the cake, and her friends ate 23 of the cake. How much of the cake was left? Responses 56 5 sixths 34 3 fourths 12 1 half 112

1 answer

To find out how much of the cake was left after Aliyah's siblings and friends ate it, we first need to determine how much of the cake was consumed in total.

If the entire cake is considered as 1 whole:

  • The siblings ate \( \frac{14}{1} \) of the cake.
  • The friends ate \( \frac{23}{1} \) of the cake.

Now, we add the portions eaten by both siblings and friends together:

\[ 14 + 23 = 37 \]

Since we have to find out how much of the cake is left, we subtract the amount that was eaten (37) from the whole cake (1).

However, none of the responses provided, such as 56, 5 sixths, 34 3 fourths, 12 1 half, or 112 seems to be a suitable answer based on typical renditions for portions or fractions of a cake. It's possible that the cake was originally a larger amount than a standard whole cake measure.

If we're going to express this in fractions or whole numbers, it might be useful to clarify the context or the quantity of the original cake. To analyze options:

  • 56 could suggest a fractional operation or whole number if we multiply the cake.
  • 5 sixths means that a little under a whole cake is left.
  • 34 3 fourths is larger and doesn’t match a format of a whole or typical fractional remnant.
  • 12 1 half is also ambiguous.
  • 112 once again does not fit the parameters.

The logical interpretation suggest re-checking total consumed against unit measure (like if it was a 52 serving cake where consumed equals or needs fraction adjustment).

Please let me know if there's additional data context or re-examination for accuracy!