Question

Gabriel sold off all but 1/3 of his comic book collection in order to pay for Christmas gifts. For Christmas, he got 6 incredibly rare comics, which brought his comic book collection total to 30. How many comic books did Gabriel have to start?

Option 1: 54
Option 2: 48
Option 3: 45
Option 4: 72

Answer 1

Gabriel originally had 72 comic books in his collection. He kept 1/3 of his collection and after receiving 6 more comics for Christmas, he had 30 comics in total. The correct answer is Option 4: 72.

Step-by-step explanation:

The student is asking a math problem related to fractions and basic arithmetic operations. To find the original number of comic books in Gabriel's collection, let's use the information provided. Gabriel kept 1/3 of his collection and then added 6 more comics to have a total of 30. Therefore, the 1/3 of the collection plus the 6 comics equals 30.

Let's represent the original number of comics as 'x'. According to the problem:

½ (1/3 * x) + 6 = 30

Multiplying both sides of the equation by 3 to eliminate the fraction gives us:

x + 18 = 90

Now, subtract 18 from both sides:

x = 90 - 18

x = 72

Therefore, Gabriel originally had 72 comic books in his collection before he sold some to pay for Christmas gifts. This corresponds to Option 4: 72.