which value is the "whole" in the following problem: 14 is what percent of 56? I said the "whole" is 56, due to the problem not stating whether i was to solve the problem by using proportions or whatever. May you check my answer?
Thank You
I agree. The whole is 56.
14/56 = 0.25 = 25%
Certainly! To determine the "whole" in this problem, let's first understand the meaning of the question "14 is what percent of 56?". This question is essentially asking: "What percentage of 56 is equal to 14?"
To solve this problem, you can use proportions. We set up the proportion:
14/56 = x/100
Here, 14 is the part we are comparing to a whole (which is represented by x), and we are comparing it to 56, which is the given "whole" or the starting point.
To solve for x, we cross-multiply:
14 * 100 = 56 * x
1400 = 56x
Divide both sides by 56 to isolate x:
x = 1400/56
Simplifying the division gives us:
x = 25
Therefore, 14 is 25% of 56.
In this particular problem, the "whole" is indeed 56, as you correctly identified.