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Wahab wants to donate at least $\$6000$ in books and pairs of shoes. $\newline$ Let $B$ represent the number of books and $S$ represent the number of pairs of shoes that Wahab must donate to achieve his goal. $\newline$ $20B + 50S \geq 6000$ $\newline$ Wahab donates $100$ pairs of shoes. What is the least number of books he should donate to achieve his goal? $\newline$ Choose $1$ answer: $\newline$ (A) Wahab should donate at least $20$ books. $\newline$ (B) Wahab should donate at least $50$ books. $\newline$ (C) Wahab should donate at least $80$ books. $\newline$ (D) Wahab should donate at least $100$ books.

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Solve one-step multiplication and division equations: word problems

Full solution

Q. Wahab wants to donate at least

\$6000

in books and pairs of shoes.

\newline

Let

B

represent the number of books and

S

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

\newline

20B + 50S \geq 6000

\newline

Wahab donates

100

pairs of shoes. What is the least number of books he should donate to achieve his goal?

\newline

Choose

1

answer:

\newline

(A) Wahab should donate at least

20

books.

\newline

(B) Wahab should donate at least

50

books.

\newline

(C) Wahab should donate at least

80

books.

\newline

(D) Wahab should donate at least

100

books.

Set Up Equation: Wahab's goal is to donate at least $\$6000$ in books and pairs of shoes. The equation representing this goal is $20B + 50S \geq 6000$ , where $B$ is the number of books and $S$ is the number of pairs of shoes. Wahab donates $100$ pairs of shoes, so we need to substitute $S$ with $100$ in the equation.
Substitute S: Substitute $S$ with $100$ in the equation $20B + 50S \geq 6000$ . $\newline$ $20B + 50(100) \geq 6000$
Calculate Value: Calculate the value of $50$ multiplied by $100$ . $\newline$ $50 \times 100 = 5000$
Replace in Equation: Replace $50 \times 100$ with $5000$ in the equation. $\newline$ $20B + 5000 \geq 6000$
Subtract to Solve: Subtract $5000$ from both sides of the inequality to solve for $B$ . $\newline$ $20B \geq 6000 - 5000$
Calculate Difference: Calculate the difference between $6000$ and $5000$ . $\newline$ $6000 - 5000 = 1000$
Divide to Solve: The inequality now becomes $20B \geq 1000$ . Divide both sides by $20$ to solve for $B$ . $\newline$ $B \geq \frac{1000}{20}$
Calculate Division: Calculate the division of $1000$ by $20$ . $\newline$ $1000 / 20 = 50$
Final Result: The result is $B \geq 50$ . This means Wahab should donate at least $50$ books to achieve his goal.

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