Question

Edmund is designing his garden. For every yellow tulip, he plans to plant two whites lilies. Using only these two types of flower, he plans to plant 12 flowers in his garden. How many of each type of flower will Edmund plant in his garden? Edmund will plant _______ tulips and _______ lilies.

Answer 1

4 yellow tulips and 8 white lilies.

Explanation:

Ratio is 1:2:3 for yellow tulips, white lilies and the total.

Set up a proportion

`(yellow)/(total)` =
`(yellow)/(total)` Three of these numbers you know, Solve for the unknown

`(1)/(3)` =
`(x)/(12)` Cross multiply and solve for x

3x = 12 Divide both sides by 3

x = 4 This is the number of yellow tulips

Set up another proportion:

`(white lilies)/(total)` =
`(white lilies)/(todal)`

`(2)/(3)` =
`(x)/(12)` I can see that 3 x 4 = 12 so I will multiply the top number to 2 by 4 to get 8.