Carl went to the store and bought three dozen eggs for 120pesos per dozen. On his
way home he met Tracy. He gave Tracy back the 150pesos he borrowed from her last
week. He now has exactly half the money he had before going to the store. How much
money does he have now?
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Answers & Comments
Answer: 360?
Step-by-step explanation: Correct me If wrong
Answer:
510pesos
Explanation:
He bought 3 dozen eggs for 120pesos per dozen: 3 × 120 = 360
Assuming that he gave the exact payment, therefore he has 360pesos.
Then, he owes Tracy 150pesos and he paid it back.
n = the original money Carl has
n - 360 - 150 = 1/2n
n - 1/2n - 360 - 150 = 1/2n - 1/2n
n - 1/2n - 360 - 150 + 360 + 150 = 360 + 150
n - 1/2n = 510
Change to similar fractions:
Combine similar like terms:
Multiply both sides by 2 (to cancel 1/2):
n = 1,020
Carl originally has 1,020pesos before going to the store and now, he has 510pesos.