Question

The directions on a package of punch mix say to use 4 quarts of water for every 3 tablespoons of punch mix. How many gallons of punch can be made using 39 tablespoons of punch mix?

Answer 1

The answer is 13 gallons of punch. To find the number of gallons of punch that can be made using 39 tablespoons of punch mix, set up a proportion and solve for x.

Step-by-step explanation:

To find the number of gallons of punch that can be made using 39 tablespoons of punch mix, we need to set up a proportion.

According to the directions on the package, for every 3 tablespoons of punch mix, we need 4 quarts of water. So, the proportion can be set up as 3 tablespoons / 39 tablespoons = 4 quarts / x quarts, where x is the number of quarts of punch.

Cross multiplying, we get 3x = 39 * 4. Solving for x, we find that x = 39 * 4 / 3 = 52 quarts.

To convert quarts to gallons, we can use the conversion factor 1 gallon = 4 quarts. Therefore, 52 quarts is equal to 52 / 4 = 13 gallons of punch.