Question

Chloe, the largest elephant at a national park, weighs $5000$ pounds. The weights of three other elephants are given below.
Jane: $3500$ pounds, Julie: $3200$ pounds, Kim: $4000$ pounds. Identify the correct option.

• A. $\frac{\text{Julie's weight}}{\text{Kim's weight}}=\frac{\text{Kim's weight}}{\text{Chloe's weight}}$
• B. $\frac{\text{Julie's weight}}{\text{Kim's weight}}>\frac{\text{Kim's weight}}{\text{Chloe's weight}}$
• C. $\frac{\text{Julie's weight}}{\text{Kim's weight}}<\frac{\text{Kim's weight}}{\text{Chloe's weight}}$

Answer 1

The correct option is A $\frac{\text{Julie's weight}}{\text{Kim's weight}}=\frac{\text{Kim's weight}}{\text{Chloe's weight}}$

Chloe's weight $=5000lb$
Jane's weight $=3500lb$
Julie's weight $=3200lb$
Kim's weight $=4000lb$

$\frac{\text{Julie's weight}}{\text{Kim's weight}}=\frac{3200}{4000}=\frac{32\times 100}{40\times 100}=\frac{32}{40}=\frac{4\times 8}{5\times 8}=\frac{4}{5}$
$\frac{\text{Kim's weight}}{\text{Chloe's weight}}=\frac{4000}{5000}=\frac{4\times 1000}{5\times 1000}=\frac{4}{5}$
$\frac{\text{Julie's weight}}{\text{Kim's weight}}=\frac{\text{Kim's weight}}{\text{Chloe's weight}}=\frac{4}{5}$
The fraction $\frac{4}{5}$, formed by dividing Julie and Kim’s weights is the same as the fraction $\frac{4}{5}$ formed by dividing Kim and Chloe’s weights.