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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) 100 L+200 B<5,000 $\newline$ (B) 200 L+100 B<5,000 $\newline$ (C) 200 L+100 B>5,000 $\newline$ (D) 100 L+200 B>5,000

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Write a linear inequality: 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)

100 L+200 B<5,000

\newline

(B)

200 L+100 B<5,000

\newline

(C)

200 L+100 B>5,000

\newline

(D)

100 L+200 B>5,000

Define item values: Define the value of each item. $\newline$ Value of each laptop: $\$200$ $\newline$ Value of each bicycle: $\$100$ $\newline$ We need to find an inequality that represents the total value of laptops and bicycles being greater than $\$5,000$ .
Set up the inequality: Set up the inequality using the values of laptops and bicycles. $\newline$ Let $L$ be the number of laptops and $B$ be the number of bicycles. $\newline$ The total value from laptops is $200L$ and from bicycles is $100B$ . $\newline$ The inequality should reflect that the sum of these values is greater than $\$5,000$ .
Write the inequality: Write the inequality. $\newline$ The inequality that represents Hyun Yong's goal is $200L$ (value from laptops) + $100B$ (value from bicycles) > $\$5,000$ .
Match the inequality: Match the inequality to the given choices. $\newline$ The correct inequality is 200L + 100B > 5,000, which corresponds to choice $(C)$ .

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