Question

Gregor is planting pea plants in his backyard. Some of the plants are tall and the rest are short. Some of the plants are yellow and the rest are green. The numbers of different plant types are in the ratio\[\text{Tall green}:\text{Tall yellow}:\text{Short green}:\text{Short yellow} = 8:5:2:1.\]If there are 1080 green plants, then how many total plants are in Gregor's yard?

Answer 1

1728.

Explanation:

It is given that The numbers of different plant types are in the ratio

Tall green:Tall yellow:Short green:Short yellow = 8:5:2:1.

Let the numbers of Tall green, Tall yellow, Short green:, Short yellow are 8x, 5x, 2x, x respectively.

Number of green plants
`=8x+2x=10x`

It is given that there are 1080 green plants.

`10x=1080`

`x=108`

Number of total plants
`=8x+5x+2x+x=16x`

`16x=16(108)=1728`

Therefore, total plants are in Gregor's yard is 1728.