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?
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 [tex] \frac{2}{3} [/tex] The other ratio is ? 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 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 = [tex] \frac{48}{3} [/tex]
