In a flower garden, there are 5 tulips for every 7 daisies. If there are 45 tulips, how many daisies are there?

Question

A.
61
B.
65
C.
63
D.
68

Answer 1

To find the number of daisies in the flower garden, we start with the given ratio of tulips to daisies, which is \(5:7\).

Let \(T\) be the number of tulips, and \(D\) be the number of daisies. According to the ratio:

\[ \frac{T}{D} = \frac{5}{7} \]

We know there are 45 tulips, so \(T = 45\). We can set up the equation:

\[ \frac{45}{D} = \frac{5}{7} \]

To solve for \(D\), we cross-multiply:

\[ 45 \cdot 7 = 5 \cdot D \]

Calculating \(45 \cdot 7\):

\[ 315 = 5D \]

Now, we divide both sides by 5 to solve for \(D\):

\[ D = \frac{315}{5} = 63 \]

Thus, the number of daisies is \(63\).

The answer is: C. 63