Chloe runs a farm stand that sells apples and peaches. Each pound of apples sells for
$3 and each pound of peaches sells for $4. Chloe sold 3 times as many pounds of
peaches as pounds of apples and she made $240 altogether. Graphically solve a
system of equations in order to determine the number of pounds of apples sold, x,
and the number of pounds of peaches sold, y.
pls help! plot on a line

Respuesta :

Answer:

  • 3x+4y=240; y=3x
  • 16 pounds of apples
  • 48 pounds of peaches

Step-by-step explanation:

You want a system of equations and a graphical solution for the scenario that the weight of peaches sold (y) is 3 times the weight of apples sold (x), and the revenue from sales of apples at $3/lb and peaches at $4/lb was a total of $240.

Equations

The revenue equation can be ...

  3x +4y = 240

The relation between pounds of each fruit sold can be ...

  y = 3x

Graph

The graph is attached. The solution is (x, y) = (16, 48).

16 pounds of apples and 48 pounds of peaches were sold.

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Additional comment

We note that the 3x in the first equation can be substituted by y using the second equation. This gives 5y=240, or y = 48. Then 3x=48, so x=16. This agrees with the graphical solution, as it should.

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