Marcella read 100 books over the school year. 60 of the books were mysteries. She said the mysteries equal 0.06 of the total books. Is she correct?
Explain your thinking and describe a model that could be used to help support your explanation.
Very impressed by the fact that Marcella read 100 books per year.
Sort of surprised that such a bright girl would not know that 60/100 = 60% or 0.6
thanks :)
Thanks!
Well, Marcella certainly has a knack for mystery books! Let's take a closer look at her claim.
According to Marcella, the mysteries make up 0.06 (or 6%) of the total number of books she read. To determine whether she is correct, we can use a simple model.
Let's say Marcella's claim is true. If 60 books (the number of mysteries) represent 6% of the total books she read, we can represent it as an equation:
60 (number of mysteries) = 0.06 (percentage of mysteries) * X (total books)
To find X (the total number of books), we can rearrange the equation:
X = 60 / 0.06
Simplifying this equation, we get:
X = 1000
According to our model, if Marcella indeed read 1000 books, then 60 mysteries would indeed make up 6% of the total books.
However, if Marcella read only 100 books, then the number of mysteries making up 0.06 of the total books would be:
0.06 * 100 = 6
So, it seems Marcella might have made a mistake in her claim. If she read only 100 books, then 60 mysteries would represent 60%, not 6%.
But hey, it's always possible that Marcella simply has a unique sense of humor and was just joking around!
To determine if Marcella is correct, we need to compare the number of mystery books she read to the total number of books she read.
Marcella read 60 mystery books, and she claims that these books make up 0.06 (or 6%) of the total books she read. To verify her claim, we can set up a proportion using the given information.
The proportion can be represented as follows:
Mystery books / Total books = 0.06
Let's assume the total number of books Marcella read is "x." Thus, the proportion becomes:
60 / x = 0.06
To solve for "x," we can cross multiply:
60 = 0.06 * x
Dividing both sides of the equation by 0.06:
60 / 0.06 = x
x = 1000
The equation tells us that if Marcella read 1000 books, then 60 of them would be mysteries, supporting her claim that the mysteries account for 6% of the total books.
Therefore, if Marcella read 1000 books, she is correct.