Question

in a florist shop, the ratio of roses to tulips is 5 : 3. complete the table to show the proportional relationship between roses and tulips.
roses

35

80
tulips 9

36

Explanation:

Step1: Define the proportional relationship

Let the number of roses be \( R \) and tulips be \( T \). The ratio \( R:T = 5:3 \), so \( \frac{R}{T}=\frac{5}{3} \), which can be rewritten as \( R=\frac{5}{3}T \) or \( T = \frac{3}{5}R \).

Step2: Find roses when tulips = 9

Using \( R=\frac{5}{3}T \), substitute \( T = 9 \):
\( R=\frac{5}{3}\times9 = 15 \)

Step3: Find tulips when roses = 35

Using \( T=\frac{3}{5}R \), substitute \( R = 35 \):
\( T=\frac{3}{5}\times35 = 21 \)

Step4: Find roses when tulips = 36

Using \( R=\frac{5}{3}T \), substitute \( T = 36 \):
\( R=\frac{5}{3}\times36 = 60 \)

Step5: Find tulips when roses = 80

Using \( T=\frac{3}{5}R \), substitute \( R = 80 \):
\( T=\frac{3}{5}\times80 = 48 \)

Answer:

Roses	15	35	60	80