the ratio to the number of mystery books to the number of science fiction books is 4:3
the ratio of the number of science fiction books to the number of biographies is 4:5
if there are 48 science fiction books, find the total number of books using bar model
m/sf = 4/3
sf/b = 4/5
sf = 48, so
m/48 = 4/3
m = 64
48/b = 4/5
b = 60
sf+m+b = 48+64+60 = 172
maybe you can fit that into your bar model.
this makes no sense
To me it makes perfect sense. Thanks
To find the total number of books using a bar model, we need to determine the number of mystery books and biographies first.
Given that the ratio of mystery books to science fiction books is 4:3, we can set up a proportion using the number of science fiction books we know (48):
4/3 = x/48
To solve for x, we cross-multiply:
4 * 48 = 3 * x
This simplifies to:
192 = 3x
Dividing both sides by 3 gives us:
x = 64
Therefore, the number of mystery books is 64.
Now let's find the number of biographies. The ratio of science fiction books to biographies is 4:5, and we know that there are 48 science fiction books. Again, we can set up a proportion:
4/5 = 48/y
Cross-multiplying:
4 * y = 5 * 48
Simplifying:
4y = 240
Dividing by 4:
y = 60
So, the number of biographies is 60.
To find the total number of books, we add the number of mystery books, science fiction books, and biographies:
Total = 64 + 48 + 60
The total number of books is 172.