In a flower garden, there are 6 tulips for every 9 daisies. If there are 42 tulips, how many daisies are there?
d = daisies
t = tulips
d / t = 9 / 6 = 3 * 3 / 3 * 2
d / t = 3 / 2
Cross multiply
2 d = 3 t
t = 2 d / 3
If there are 42 tulips, t = 42
42 = 2 d / 3
Multiply bith sides by 3
126 = 2 d
d = 126 / 2
d = 63
To find the number of daisies in the flower garden, we can use a proportion.
The ratio of tulips to daisies in the garden is 6:9, which can be simplified to 2:3 by dividing both sides by their greatest common divisor, which is 3.
So, for every 2 tulips, there are 3 daisies.
If there are 42 tulips in the garden, we can set up a proportion:
2 tulips / 3 daisies = 42 tulips / x daisies
To solve for x, we can cross-multiply:
2x = 3 * 42
2x = 126
Dividing both sides by 2:
x = 63
Therefore, there are 63 daisies in the flower garden.