Question

The ratio of green pepper plants to red pepper plants in joes garden is 2 to 7 if joe has 20 more red peppers plants than green pepper how many of each does he have

Answer 1

Let the number of red and green peppers be x and y respectively.

$x = y + 20$
$\frac{x}{y} = \frac{7}{2} \\ x = \frac{7}{2} y$
$\frac{7}{2}y = y + 20 \\ \frac{5}{2} y = 20 \\ y = 8$
$x = \frac{7}{2} y \\ x = \frac{7}{2} (8) \\ x = 28$

Answer 2

Answer: green = 8, red = 28

Step-by-step explanation:

green   :   red

  2x           7x

   y           y + 20

⇒$\left \{ {{2x=y} \atop {7x=y+20}} \right.$

Since y = 2x, I can substitute "y" with "2x" in the second equation:

7x = 2x + 20

-2x  -2x        

5x  =        20

÷5           ÷5  

   x  =         4

green: 2x   = 2(4)   = 8

red: 7x   = 7(4)   = 28