Question

in a museum, there are 9 paintings for every 7 sculptures.
(a) write the ratio of paintings to sculptures.
9:7
(b) if there are 36 paintings in the museum, how many sculptures are there?
□ sculptures

Explanation:

Step1: Confirm given ratio

Ratio of paintings to sculptures = $9:7$

Step2: Find scaling factor for paintings

Scaling factor = $\frac{36}{9}=4$

Step3: Calculate number of sculptures

Number of sculptures = $7 \times 4 = 28$

Answer:

(a) $9:7$
(b) 28