Florist flower arrangement

A florist was preparing floral arrangements for a wedding. One-third of the flowers were roses, six peonies, and five-twelfth tulips; the remaining 10 were lilies.
a) How many flowers did the florist use?
b) How many tulips were there

Final Answer:

n =  120
t =  50

Step-by-step explanation:

$$\begin{gathered} \frac{n}{3}+\frac{n}{6}+\frac{5}{12}\cdot n+10=n \\ n/3+n/6+5/12\cdot n+10=n \\ n=120 \end{gathered}$$

$t=\frac{5}{12}\cdot n=\frac{5}{12}\cdot 120=\frac{5\cdot 120}{12}=\frac{600}{12}=50$

Try another example