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?
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The problem gives us a ratio
2 pounds of granola = 3 pounds of raisins
which makes a ratio of
The other ratio is
? pounds of granola = 24 pounds of raisins
which makes a ratio of
To solve, set them equal to each other ...
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 =
x = 16
You'll need 16 pounds of granola
the answer is 48 pounds
To find out how many pounds of granola are needed for a mix that includes 24 pounds of raisins, we can set up a ratio using the given information.
The ratio of granola to raisins is 2 pounds of granola for every 3 pounds of raisins.
We can use this ratio to find the amount of granola needed for 24 pounds of raisins.
Since the ratio is measured in pounds, we need to keep the units consistent when setting up the ratio.
Ratio of granola to raisins: 2 pounds of granola / 3 pounds of raisins
Now we can set up the proportion:
2 pounds of granola / 3 pounds of raisins = X pounds of granola / 24 pounds of raisins
To solve this proportion, we can cross multiply:
2 pounds of granola * 24 pounds of raisins = X pounds of granola * 3 pounds of raisins
48 pounds of granola = 3X pounds of granola
To find the value of X, we divide both sides of the equation by 3:
48 pounds of granola / 3 = 3X pounds of granola / 3
16 pounds of granola = X pounds of granola
Therefore, for a mix that includes 24 pounds of raisins, you would need 16 pounds of granola.
granola : raisins = 2:3 = 2x : 3x
if 3x = 24
x = 8
then granola = 2x = 16