n + p = 24 is correct.
to get the others:
(3/5)n = p
(5/3)p = n
I'm fine with regular substitution problems, but this word problem is really bothering me:
A writing workshop enrolls novelists and poets in a ratio of 5 to 3. There are 24 people at the workshop. How many novelists are there? How many poets are there?
I've tried to write down some equations, but they were all wrong. Does n + p = 24?
Hello, JayRich88!
Yet another way . . . (not too different).
Use the "ratio" information.A writing workshop enrolls Novelists and Poets in a ratio of 5 to 3.
There are 24 people at the workshop.
How many novelists are there? How many poets are there?
I've tried to write down some equations, but they were all wrong.
Does ? . . Yes!
We are told: .
Now substitute that into your equation.
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Another approach to Ratio problems . . .
Let = number of Novelists.
Let = number of Poets.
Then: .
Therefore: .