Question

Molly’s garden has a unit rate ofStartFraction 3 pink flowers over 2 white flowers EndFractionShe made a table to show how many pink and white flowers she has to plant in various rows.A 2-column table with 4 rows. Column 1 is labeled White (x) with entries 12, 36, B, C. Column 2 is labeled Pink (y) with entries 18, A, 72, 126.What are the missing numbers in the table?A: B: C:

Answer 1

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:

`(y)/(x)=(3)/(2)`

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

`\begin{gathered} (A)/(36)=(3)/(2) \\ A=(3)/(2)\cdot36 \\ A=54 \end{gathered}`

At the same way, we can formulate equations to calculate B and C as:

`\begin{gathered} (72)/(B)=(3)/(2) \\ 72\cdot(2)/(3)=B \\ 48=B \end{gathered}`
`\begin{gathered} (126)/(C)=(3)/(2) \\ 126\cdot(2)/(3)=C \\ 84=C \end{gathered}`

Answers: A = 54

B = 48

C = 84