Question

Javier and his brother Antonio are selling bags of popcorn to raise money for their baseball team to travel to Florida for a tournament.

• Javier is selling his bags of popcorn for $7.50 each and has already raised $120.00.
• Antonio is selling his bags of popcorn for $6.00 each and has already raised $162.00.
Which equation can be used to determine x, the number of bags of popcorn Javier and Antonio must each sell, so that the total amount of money they raise is the same?

Answer 1

Javier and Antonio each need to sell 21 bags of popcorn for the total amount of money they raise to be the same.

Let's use x to represent the number of bags of popcorn that Javier sells. Since Antonio's brother sells x bags of popcorn as well, the total number of bags sold is 2x.

Now, let's set up an equation based on the total amount of money they raise:

Javier's earnings + Antonio's earnings = Total amount raised

The equation is:

7.50x+6.00x=120.00+162.00

Combine the terms:

13.50x=282.00

Now, solve for x by dividing both sides by 13.50:

x= 282.00/ 13.50

Calculate the value of x:

x≈20.89

Since you can't sell a fraction of a bag, round up to the nearest whole number because you can't sell a fraction of a bag:

x≈21

Therefore, Javier and Antonio each need to sell 21 bags of popcorn for the total amount of money they raise to be the same.