Section: Math 0 Likes
Brian had $12.80 to spend at the flea market. He bought a portable CD (September 2023 - G01)
Brian had $12.80 to spend at the flea market. He bought a portable CD player for $5.50 and wants to buy some CDs that are $0.75 each.
Brian can determine n, the number of CDs he can buy, using which of the following inequalities?
F. 0.75n ≤ 12.80
G. n-5.50 ≤ 12.80
H. n+5.50 ≤ 12.80
J. 0.75n-5.50 ≤ 12.80
K. 0.75n+5.50 ≤ 12.80
Solution
Correct answer: K. 0.75n+5.50 ≤ 12.80.
Despite the official Answer Key pointing to alternative K. The correct solution is as follows:
To solve this problem, Brian needs to ensure that the total cost of the CDs, which is $0.75 each, doesn't exceed the amount of money he has remaining after purchasing the portable CD player.
Brian's initial amount of money is $12.80. After buying the CD player for $5.50, he has:
$12.80 − $5.50 = $7.30
Now, he wants to buy CDs for $0.75 each, and he wants to find out how many CDs, represented by n, he can buy with the remaining money.
So, the correct inequality would be:
0.75n ≤ 7.30
Therefore, the correct option is F. 0.75n ≤ 12.80.
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: Basic Arithmetic, Inequalities, Linear Equations