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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.

20 B+50 S >= 6000
Wahab donates 100 pairs of shoes. What is the least number of books he should donate to achieve his goal?
Choose 1 answer:
(A) Wahab should donate at least 20 books.
(B) Wahab should donate at least 50 books.
(C) Wahab should donate at least 80 books.
(D) Wahab should donate at least 100 books.

Wahab wants to donate at least $6000\$6000 in books and pairs of shoes.\newlineLet BB represent the number of books and SS represent the number of pairs of shoes that Wahab must donate to achieve his goal.\newline20B+50S600020B + 50S \geq 6000\newlineWahab donates 100100 pairs of shoes. What is the least number of books he should donate to achieve his goal?\newlineChoose 11 answer:\newline(A) Wahab should donate at least 2020 books.\newline(B) Wahab should donate at least 5050 books.\newline(C) Wahab should donate at least 8080 books.\newline(D) Wahab should donate at least 100100 books.

Full solution

Q. Wahab wants to donate at least $6000\$6000 in books and pairs of shoes.\newlineLet BB represent the number of books and SS represent the number of pairs of shoes that Wahab must donate to achieve his goal.\newline20B+50S600020B + 50S \geq 6000\newlineWahab donates 100100 pairs of shoes. What is the least number of books he should donate to achieve his goal?\newlineChoose 11 answer:\newline(A) Wahab should donate at least 2020 books.\newline(B) Wahab should donate at least 5050 books.\newline(C) Wahab should donate at least 8080 books.\newline(D) Wahab should donate at least 100100 books.
  1. Set Up Equation: Wahab's goal is to donate at least $6000\$6000 in books and pairs of shoes. The equation representing this goal is 20B+50S600020B + 50S \geq 6000, where BB is the number of books and SS is the number of pairs of shoes. Wahab donates 100100 pairs of shoes, so we need to substitute SS with 100100 in the equation.
  2. Substitute SS with 100100: Substitute SS with 100100 in the equation 20B+50S600020B + 50S \geq 6000.\newline20B+50(100)600020B + 50(100) \geq 6000
  3. Calculate 50×10050 \times 100: Calculate the value of 5050 multiplied by 100100.\newline50×100=500050 \times 100 = 5000
  4. Replace in Equation: Replace 50×10050 \times 100 with 50005000 in the equation.\newline20B+5000600020B + 5000 \geq 6000
  5. Subtract 50005000: Subtract 50005000 from both sides of the inequality to solve for BB.\newline20B6000500020B \geq 6000 - 5000
  6. Calculate Difference: Calculate the difference between 60006000 and 50005000. \newline60005000=10006000 - 5000 = 1000
  7. Divide by 2020: The inequality now becomes 20B100020B \geq 1000. Divide both sides by 2020 to solve for BB. \newlineB100020B \geq \frac{1000}{20}
  8. Calculate Division: Calculate the division of 10001000 by 2020. \newline1000/20=501000 / 20 = 50
  9. Final Result: The result is B50B \geq 50. This means Wahab should donate at least 5050 books to achieve his goal.