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

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

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Answer 1 · 2015-04-03T00:15:03

The answer is: $15$ $15$

Lets say that there are $l$ $l$ lillies and $r$ $r$ roses.

We know this:

$\frac{l}{r} = \frac{1}{3}$ $l/r=1/3$

So $3 l = r$ $3l = r$

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

$l + 3 l = 20$ $l+3l=20$

$4 l = 20$ $4l=20$

$l = 5$ $l=5$

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

Answer 2 · 2015-04-03T00:21:06

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

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

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

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

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

I hope that was helpful.

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

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