Question

A school snack bar sells a mix of granola and raisins. The mix includes 2 pounds of granola for every 3 pounds of raisins. How many pounds of granola are needed for a mix that includes 24 pounds of raisins?

Answer 1

The easiest way to solve a problem like this is to cross multiply and solve

The problem gives us a ratio
2 pounds of granola = 3 pounds of raisins
which makes a ratio of
`(2)/(3)`
The other ratio is
? pounds of granola = 24 pounds of raisins
which makes a ratio of
`(x)/(24)`

To solve, set them equal to each other ...

`(2)/(3) = (x)/(24)`

Now we must cross multiply...
To cross multiply, we multiply 2 and 24
and we multiply 3 and x
Now we have an equation to solve!
3x = 48
To solve and get your final answer, divide...
x =
`(48)/(3)`

x = 16
You'll need 16 pounds of granola