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Hyun Yong wants to donate more than
$5,000 in laptops and bicycles. Each laptop that he donates is worth
$200, and each bicycle that he donates is worth
$100. Which of the following inequalities represents the number of laptops
(L) and bicycles
(B) that Hyun Yong should donate to achieve his goal?
Choose 1 answer:
(A)
100 L+200 B < 5,000
(B)
200 L+100 B < 5,000
(C)
200 L+100 B > 5,000
(D)
100 L+200 B > 5,000

Hyun Yong wants to donate more than $\$5,000$ in laptops and bicycles. Each laptop that he donates is worth $\$200$ , and each bicycle that he donates is worth $\$100$ . Which of the following inequalities represents the number of laptops $L$ and bicycles $B$ that Hyun Yong should donate to achieve his goal? $\newline$ Choose $1$ answer: $\newline$ (A) 100L+200B < 5,000 $\newline$ (B) 200L+100B < 5,000 $\newline$ (C) 200L+100B > 5,000 $\newline$ (D) 100L+200B > 5,000

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Write two-variable inequalities: word problems

Full solution

Q. Hyun Yong wants to donate more than

\$5,000

in laptops and bicycles. Each laptop that he donates is worth

\$200

, and each bicycle that he donates is worth

\$100

. Which of the following inequalities represents the number of laptops

L

and bicycles

B

that Hyun Yong should donate to achieve his goal?

\newline

Choose

1

answer:

\newline

(A)

100L+200B < 5,000

\newline

(B)

200L+100B < 5,000

\newline

(C)

200L+100B > 5,000

\newline

(D)

100L+200B > 5,000

Determine Value: Determine the value of each laptop and bicycle. We are given that each laptop is worth $\$200$ and each bicycle is worth $\$100$ .
Set Up Inequality: Set up an inequality to represent the total value of laptops and bicycles donated. Since Hyun Yong wants to donate more than $\$5,000$ , the total value of laptops and bicycles combined should be greater than $\$5,000$ .
Calculate Total Value: Use the given values to express the total value of $L$ laptops and $B$ bicycles. The total value is $\$200$ per laptop times the number of laptops ( $L$ ) plus $\$100$ per bicycle times the number of bicycles ( $B$ ). This gives us the expression $200L + 100B$ .
Formulate Inequality: Formulate the inequality using the expression from Step $3$ . Since the total value must be more than $\$5,000$ , the inequality is 200L + 100B > 5,000.
Match with Choices: Match the inequality from Step $4$ with the given choices. The correct inequality is (C) 200L + 100B > 5,000.

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