Question

Alina has 4 more dollars than Anthony has. Trang has twice as many dollars as Alina has. They have 48 dollars altogether. How many dollars does Anthony have?

A) 12 dollars
B) 14 dollars
C) 16 dollars
D) 18 dollars

Answer 1

To find out how many dollars Anthony has, we designate his amount with the variable A. Then, through setting up and solving an equation based on the given relations between the amounts Alina and Trang have in comparison to Anthony's amount, we determine that Anthony has 10 dollars. However, this answer is not listed in the given options.

Step-by-step explanation:

The problem at hand is to find out how many dollars Anthony has when given the information that Alina has 4 more dollars than Anthony, Trang has twice as many dollars as Alina, and together they have a total of 48 dollars. Here is a step-by-step explanation to solve the problem:

1. Let's represent the amount Anthony has as A. Then, Alina has A + 4 dollars.
2. Trang has twice as many dollars as Alina, which means Trang has 2(A + 4) dollars.
3. The total amount they have together is 48 dollars, so we set up the equation A + (A + 4) + 2(A + 4) = 48.
4. Simplify and solve the equation: 4A + 8 = 48.
5. Subtract 8 from both sides: 4A = 40.
6. Divide both sides by 4: A = 10.
7. Therefore, since Anthony has A dollars and A = 10, Anthony has 10 dollars. However, none of the options (A) 12 dollars, (B) 14 dollars, (C) 16 dollars, (D) 18 dollars match with the result we calculated, which means there might be a mistake in the question or options provided. In actuality, the correct amount of money Anthony has, based on our calculation, is not listed in the options.