If there are 20 flowers, how many roses are there if bunches of Flowers have lillies and roses in the ratio 1:3?

2 Answers
Apr 3, 2015

The answer is: 15

Lets say that there are l lillies and r roses.

We know this:

l/r=1/3

So 3l = r

Also we know that l+r=20. We now know that r=3l then we can rewrite the equality as:

l+3l=20

4l=20

l=5

So if there are 5 lilies then there must be 15 roses.

Apr 3, 2015

Assuming the ratio is Lily : Rose , there are 5 lilies to 15 roses:

We know that there are 20 flowers in all, lilies and roses combined.
L + R = 20

We know that there are 3 times as many roses as there are lilies:
R = 3L

Let's substitute R from our second equation into our first equation:
L + color(red)(3L) = 20
4L = 20
L = 5 There are 5 lilies.

Since R = 3L and L=5:
R = 3*color(red)(5)
R = 15 There are 15 roses.

I hope that was helpful.