The table is:
White (x) Pink(y)
12 18
36 A
B 72
C 126
The unit rate is 3/2, so for every y (Pink flowers) and x (White flowers), we get:
[tex]\frac{y}{x}=\frac{3}{2}[/tex]Now, we can use this equation to calculate A. Where y is A and x is 36 white flowers, so, solving for A, we get
[tex]\begin{gathered} \frac{A}{36}=\frac{3}{2} \\ A=\frac{3}{2}\cdot36 \\ A=54 \end{gathered}[/tex]At the same way, we can formulate equations to calculate B and C as:
[tex]\begin{gathered} \frac{72}{B}=\frac{3}{2} \\ 72\cdot\frac{2}{3}=B \\ 48=B \end{gathered}[/tex][tex]\begin{gathered} \frac{126}{C}=\frac{3}{2} \\ 126\cdot\frac{2}{3}=C \\ 84=C \end{gathered}[/tex]Answers: A = 54
B = 48
C = 84
