Wahab wants to donate at least $6000 in books and pairs of shoes. Let B represent the number of books and S represent the number of pairs of shoes that Wahab must donate to achieve his goal. 20B+50S≥6000. Wahab donates 100 pairs of shoes. What is the least number of books he should donate to achieve his goal?

Wahab has to donate at least 50 books to reach his goal

Solution:

Given that, Wahab wants to donate at least $6000 in books and pairs of shoes.

Let "B' represent the number of books

Let "S" represent the number of pairs of shoes that Wahab must donate to achieve his goal.

20B+50S ≥ 6000 ⇒ this is the inequality for total donation.

Wahab donates 100 pairs of shoes.

Now, as he donated 100 pairs of shoes, S = 100, so substitute this in inequality.

20B + 50 (100) ≥ 6000

20B + 5000 ≥ 6000

20B ≥ 6000 - 5000

20B ≥ 1000

B ≥ 50

Hence, wahab has to donate at least 50 books to reach his goal.