Question

1. harpreet reads 24 books in 13 months. alli reads 20 books in 9 months.

a) calculate the rate of books read per month.
b) who reads more books each month?

Explanation:

Part (a)

Step1: Calculate Harpreet's rate

To find the rate of books read per month for Harpreet, we divide the number of books she read by the number of months. Harpreet reads 24 books in 13 months. So the rate \( r_{H} \) is \( \frac{24}{13} \approx 1.85 \) books per month.
\[ r_{H}=\frac{24}{13}\approx1.85 \]

Step2: Calculate Alli's rate

For Alli, she reads 20 books in 9 months. The rate \( r_{A} \) is \( \frac{20}{9} \approx 2.22 \) books per month.
\[ r_{A}=\frac{20}{9}\approx2.22 \]

We compare the two rates we calculated in part (a). Harpreet's rate is approximately \( 1.85 \) books per month and Alli's rate is approximately \( 2.22 \) books per month. Since \( 2.22>1.85 \), Alli reads more books per month.

Answer:

Harpreet's rate: \( \frac{24}{13}\approx1.85 \) books per month; Alli's rate: \( \frac{20}{9}\approx2.22 \) books per month

Part (b)