Given :
A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.
To Find :
1. How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?
2. How much flour and vanilla would you need for 5 batches of cookies?
Solution :
Let, 1 cup of flour contains x gm of flour.
Let, 2 teaspoons of vanilla contains y gm of vanilla.
So, 1 batch requires :
1 batch = 5x + 2y
It is given that 15 cups of flour and 6 teaspoons of vanilla are their so batches are :
x = 15x + 6y = 3( 5x + 2y ) = 3 batches.
Now,
For 5 batches of cookies 5×5 = 25 cups of flour and 5×2 = 10 teaspoons of vanilla.
Hence, this is the required solution.
