An online article received a total of 480 interactions, consisting of likes and comments. If the article received 375 likes, how many comments did it receive?
A part-whole relationship appears when two groups make up one total. Name the missing group, then use known part + missing part = total to write an equation. Subtract the known part to find what remains. The total already includes that part, so adding it again counts it twice.
Hints
- Hint 1
In a part-whole relationship, the two groups add up to the total. If counts comments, what equation adds the likes and comments to make all the interactions?
- Hint 2
The total already includes the likes. To find the missing group, subtract the likes from the total, not the other way around.
Step-by-step
Subtract the known part from the total
Step 1Write the parts-and-total equation
No Desmos needed. Finding the missing part takes one subtraction. Let be the number of comments. Likes and comments are the only two kinds of interactions, so their counts add to the total:
- Step 2
Find the missing count
Subtract from both sides to leave the comments:
Calculate the difference:
So the article received comments. Choice D.