# math

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?
THANK YOU!

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1. granola : raisins = 2:3 = 2x : 3x

if 3x = 24
x = 8

then granola = 2x = 16

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2. 48

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3. 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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2. 👎
3. ℹ️
4. 🚩
4. the answer is 48 pounds

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5. 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