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`

`(x)/(y) = (7)/(2) \\ x = (7)/(2) y`

`(7)/(2)y = y + 20 \\ (5)/(2) y = 20 \\ y = 8`

`x = (7)/(2) y \\ x = (7)/(2) (8) \\ x = 28`

Answer 2

Answer: green = 8, red = 28

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