a certain store sells two types of pen: one type for rs. 2 per pen and the other type for rs. 3 per pen. if a customer can spend up to rs. 25 to buy pens at the store, what is the greatest number of pens the customer can buy
25/2 = 12.5 0r 12 Pens.
To find the greatest number of pens the customer can buy within the given budget, we can use a simple mathematical approach.
Let's assume the customer buys x number of pens that cost rs. 2 per pen. The total cost of these pens would be 2x.
Similarly, if the customer buys y number of pens that cost rs. 3 per pen, the total cost of these pens would be 3y.
According to the given condition, the customer can spend up to rs. 25. So, we have the inequality:
2x + 3y ≤ 25
To find the maximum number of pens the customer can buy, we need to find the largest integer values of x and y that satisfy the above inequality.
To simplify the process, we can start by assuming x = 0, which means the customer is not buying any of the rs. 2 pens, and see how many rs. 3 pens they can buy.
If x = 0:
2(0) + 3y ≤ 25
0 + 3y ≤ 25
3y ≤ 25
y ≤ 25/3
Since y must be an integer value, the largest value for y that satisfies the inequality is 8 (as 8 × 3 = 24, which is less than or equal to 25).
So, if the customer buys 0 rs. 2 pens and 8 rs. 3 pens, they will spend a total of rs. 24 (0 × 2 + 8 × 3 = 24), which is within their budget.
Therefore, the greatest number of pens the customer can buy is 0 rs. 2 pens and 8 rs. 3 pens, for a total of 8 pens.