Question

Angelo grows vegetables and sells them at a farmers'

market. The price of 2 cucumbers and I pepper is
$3.15, and the price of 3 cucumbers and 2 peppers is
$5.35. Based on this pricing, what would be the price,
in dollars, of 4 cucumbers and 3 peppers?

Answer 1

$7.55

Explanation:

We can solve this by using a system of equations. The equations would be set up like this:

`2c + p = 3.15\\3c + 2p = 5.35\\`

Let's isolate a variable in the first equation:

`p = -2c + 3.15`

Now we can plug this in to the second equation:

`3c + 2(-2c + 3.15) = 5.35\\3c - 4c + 6.3 = 5.35\\-c + 6.3 = 5.35 \\-c = -.95\\c = .95`

Now that we have found c we can find p by plugging c in to an equation

`2(.95) + p = 3.15\\1.9 + p = 3.15\\p = 1.25`

We have found both variables now we can use the following equation to answer the question:

`4c + 3p = ?\\4(.95) + 3(1.25) = ?\\3.8+3.75 = 7.55`

Therefore, the price in dollars of 4 cucumbers and 3 peppers is $7.55.

I hope this helps!!

- Kay :)