Pete prefers milk to soda by a ratio of 3 to 1. Pete pays $4.56 for a gallon of milk (128 ounces) and a six-pack of soda (72 ounces).
a. What fraction of the total volume of liquid is the milk? The soda?
b. Describe what Pete’s preference ratio means.
c. How much value would Pete place on the soda in dollars? The milk?
d. What value would Pete place on a combination of 6 ounces of milk and 12 ounces of soda?
e. Create two different divisions of the liquid that Pete would think are fair.
f. Suppose Russell prefers soda to milk in a ratio of 5 to 4. For each of the divisions from part (e), determine which portion Russell would choose. Justify your answers.
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