Question

Jenny bought gallons of lemonade and milk for a banquet. A gallon of lemonade cost five dollars, and a gallon of milk cost three dollars. Jenny spent $120 in baht 32 total gallons. How many gallons of milk to Jenny by?

Answer 1

Jenny bought 20 gallons of milk.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information. Let's say Jenny bought x gallons of lemonade and y gallons of milk. According to the problem, a gallon of lemonade costs $5 and a gallon of milk costs $3. We also know that Jenny spent a total of $120 and bought a total of 32 gallons of lemonade and milk. So we can write the following equations:

5x + 3y = 120 (equation 1)

x + y = 32 (equation 2)

To solve this system of equations, we can use the substitution or elimination method. Let's use the elimination method:

From equation 2, we can solve for x: x = 32 - y

Substituting x in equation 1:

5(32 - y) + 3y = 120

160 - 5y + 3y = 120

-2y = -40

y = 20

Therefore, Jenny bought 20 gallons of milk.