Question

Which of the following equations represents the situation where Luca buys a bag of 3 favors, 4 of which are broken, and he wants to give 4 favors to each guest at a party, represented by the variable g?

A) 3 - 4 = 4g
B) 3 - 4g = 4
C) 3g - 4 = 4
D) 4g - 3 = 4

Answer 1

The correct equation representing the scenario where Luca distributes favors to his party guests, after accounting for some broken ones, is 3g - 4 = 4.

Step-by-step explanation:

The student is asking about setting up an equation to represent a situation where Luca buys a bag of favors, and he discovers that some are broken. Luca intends to give 4 favors to each guest at his party. Let's designate the variable g to represent the number of guests. Luca starts with 3 bags, each presumably with the same number of favors. However, since 4 favors are broken, he will have 4 less to give away. After giving 4 favors to each guest, he wants to end with zero favors left. So the correct equation to represent this scenario would be the number of favors Luca has in total (3 bags worth, minus the 4 broken ones) equals the number given to the guests, which is 4 times the number of guests g.

Therefore, the correct equation is 3g - 4 = 4, which represents Luca's initial amount of favors (3 times the number of guests), minus the 4 broken ones, should equal the total number of favors he gives away (4 favors for each guest).