College

Oranges cost [tex] \$4 [/tex] per pound, and bananas cost [tex] \$2 [/tex] per pound. The total cost is [tex] \$28 [/tex].

The equation is [tex] 4x + 2y = 28 [/tex], where:
- [tex] x [/tex] represents the pounds of oranges.
- [tex] y [/tex] represents the pounds of bananas.

How many pounds of bananas can you buy if you purchased 3 pounds of oranges?

Answer :

To solve this problem, we need to figure out how many pounds of bananas you can buy if you've already purchased 3 pounds of oranges.

1. Find the total cost of the 3 pounds of oranges:
- Oranges cost [tex]$4 per pound.
- If you buy 3 pounds, the cost for oranges is:
\[
3 \, \text{pounds} \times \$[/tex]4/\text{pound} = \[tex]$12
\]

2. Calculate the remaining money after buying the oranges:
- You have a total budget of $[/tex]28.
- After spending [tex]$12 on oranges, the remaining money is:
\[
\$[/tex]28 - \[tex]$12 = \$[/tex]16
\]

3. Determine how many pounds of bananas you can buy with the remaining money:
- Bananas cost [tex]$2 per pound.
- With $[/tex]16 left, the number of pounds of bananas you can purchase is:
[tex]\[
\frac{\$16}{\$2/\text{pound}} = 8 \, \text{pounds}
\][/tex]

So, if you purchased 3 pounds of oranges, you can buy 8 pounds of bananas with the remaining money.