Question

Juanita needs to purchase watermelons and cantaloupes to create fruit trays. Watermelons cost $4 each,and cantaloupes cost $2 each. Juanita has $16 to spend purchasing fruit. What are the values of a, b, andc to correctly complete the table showing three ways Juanita can spend $16 purchasing fruit?

Answer 1

Let:

x = number of watermelons

y = number of cantaloupes

so:

`4x+2y=16`

Let's find all values using the previous equation:

`\begin{gathered} 4(4)+2a=16 \\ 16+2a=16 \\ solve_{\text{ }}for_{\text{ }}a\colon \\ 2a=0 \\ a=(0)/(2) \\ a=0 \end{gathered}`
`\begin{gathered} 4b+2(2)=16 \\ 4b+4=16 \\ solve_{\text{ }}for_{\text{ }}b\colon \\ 4b=12 \\ b=(12)/(4) \\ b=3 \end{gathered}`
`\begin{gathered} 4(2)+2c=16 \\ 8+2c=8 \\ 2c=8 \\ c=(8)/(2) \\ c=4 \end{gathered}`