Question

Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?

Answer 1

Hint: In this problem, we are given that Alejandra can husk 8 ears of corn in 24 minutes, we have to find how many ears of corn can she husk in 33 minutes. We can see that Alejandra can husk 8 corn in 24 minutes, from which we can find the time to husk one ear of corn. We can then divide the time 33 minutes with the time to husk one ear of corn, to get the number of ears of corn.

Complete step by step answer:
We are given that Alejandra can husk 8 ears of corn in 24 minutes.
We can write it as in 24 minutes 8 ears can be husked,
\[\Rightarrow \dfrac{24}{8}=\dfrac{3}{1}\]
We can see that, from the above step Alejandra can husk one ear of corn in 3 minutes.
We can now find the number of ears of corn that can be husked in 33 minutes.
We can now divide the given time to the original time, we get
\[\Rightarrow \dfrac{33}{3}=11\]

Therefore, Alejandra can husk 11 ears of corn in 33 minutes.

Note: Students make mistakes while finding the time taken to husk one ear of corn which can be found by dividing the given time and its number of ears of corn. i.e. 8 corns per 24 minutes and 1 corn per 3 minutes. We can also use the ratio proportion method. We can form it as 24:8::33:x and then we can equate the ratios and find the value of x.