The easiest way to solve a problem like this is to cross multiply and solveÂ
The problem gives us a ratioÂ
2 pounds of granola = 3 pounds of raisinsÂ
which makes a ratio of [tex] \frac{2}{3} [/tex]
The other ratio isÂ
? pounds of granola = 24 pounds of raisins
which makes a ratio of [tex] \frac{x}{24} [/tex]
To solve, set them equal to each other ...
[tex] \frac{2}{3} = \frac{x}{24} [/tex]
Now we must cross multiply...
To cross multiply, we multiply 2 and 24Â
and we multiply 3 and xÂ
Now we have an equation to solve!
3x = 48Â
To solve and get your final answer, divide...
x =Â [tex] \frac{48}{3} [/tex]
x = 16
You'll need 16 pounds of granolaÂ
