12. Mario is making chocolate cakes. For each cup of milk he uses, he needs to use \( 1 \frac{3}{4} \) cups of flour. For each cup of flour he uses, he needs to use \( \frac{3}{7} \) cup of cocoa powder. Mario is making enough cakes that he needs to use 4 cups of milk. How many cups of cocoa powder does Mario need to use?
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To find out how many cups of cocoa powder Mario needs, we first determine how much flour he will use. For 4 cups of milk, he needs: \[ 4 \text{ cups of milk} \times \frac{7}{4} \text{ cups of flour per cup of milk} = 7 \text{ cups of flour} \] Next, to find the amount of cocoa powder for 7 cups of flour, we use the ratio \( \frac{3}{7} \) cup of cocoa powder per cup of flour: \[ 7 \text{ cups of flour} \times \frac{3}{7} \text{ cup of cocoa powder per cup of flour} = 3 \text{ cups of cocoa powder} \] So, Mario needs 3 cups of cocoa powder for his cakes.