Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Jenny bought gallons of lemonade and milk for a banquet. A gallon of lemonade cost $5 and a gallon of milk cost $3 Jenny spent $120 and bought 32 total gallons how many gallons of milk did Jenny buy?

Sagot :

Answer:

20 gallons of milk.

Explanation:

Let the number of gallons of lemonade bought =x

Let the number of gallons of milk bought =y

Jenny bought 32 gallons in total, therefore:

[tex]\begin{gathered} x+y=32 \\ \implies x=32-y \end{gathered}[/tex]

A gallon of lemonade cost $5 and a gallon of milk cost $3.

Jenny spent $120.

[tex]5x+3y=120[/tex]

We solve the two equations simultaneously by substituting x=32-y into the second equation.

[tex]\begin{gathered} 5x+3y=120 \\ 5(32-y)+3y=120 \\ 160-5y+3y=120 \\ -5y+3y=120-160 \\ -2y=-40 \\ y=\frac{-40}{-2} \\ y=20 \end{gathered}[/tex]

We see that Jenny bought 20 gallons of milk.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.