Question

of 128 dogs at a dog show, 50% were female. among these females, 3 out of 4 were over the age of 4. how many of the dogs were females 4 years old or older?

a. 64
b. 48
c. 16
d. 32

Explanation:

Calculate the number of female dogs

Using the Percentage Calculations knowledge point

$$ N_{\text{female}} = 128 \times 50\% = 128 \times 0.5 = 64 $$

Calculate the number of older female dogs

Using the Fractional Parts and Multi-step Word Problems knowledge points

$$ N_{\text{older female}} = 64 \times \frac{3}{4} = 16 \times 3 = 48 $$

Answer:

• (A) 64
• (B) 48 (Correct answer)
• (C) 16
• (D) 32