Sarita is reading a book of 500 pages. She reads 20 pages every day. How many pages will be left after 15 days? Express this as a linear pattern.

Question

Homi · Accepted Answer

We need to find the number of pages left and express it as a linear pattern.

Step 1 — Calculate pages left

First, let's find pages read. Sarita reads 20 pages every day. She reads for 15 days.

$\text{Pages read in 15 days} = 20 \times 15$

$= 300$

Now, let's find pages left. The book has 500 pages in total. We subtract pages read from total pages.

$\text{Pages left} = 500 - 300$

$\boxed{200 \text{ pages}}$

Diagram 1

Step 2 — Express as linear pattern

Let's define a variable for pages left. Let $P_n$ be the pages left after $n$ days. Sarita reads 20 pages each day. So, pages read in $n$ days is $20n$ .

$P_n = \text{Total pages} - \text{Pages read in n days}$

$P_n = 500 - 20n$

$\boxed{P_n = 500 - 20n}$

Answer

(i) Pages left after 15 days: 200 (ii) The linear pattern is $P_n = 500 - 20n$ .

Question 5

Answer

More questions in Exercise 2.3