Final answer:
Timmy would use 78 cups of sugar if he makes 13 gallons of lemonade.
Step-by-step explanation:
To find out how many cups of sugar Timmy would use if he makes 13 gallons of lemonade, we can set up a proportion. We know that for every 2 gallons of lemonade, Timmy uses 12 cups of sugar. Using this information, we can set up the proportion 2 gallons = 12 cups and 13 gallons = x cups, where x is the unknown number of cups of sugar. Solving this proportion, we can find the value of x:
2/12 = 13/x
Multiplying both sides of the equation by 12 and 13, we get:
2x = 12 * 13
2x = 156
Dividing both sides of the equation by 2, we find that x = 78. Therefore, Timmy would use 78 cups of sugar if he makes 13 gallons of lemonade.
Learn more about Proportions in mathematics