Explanation:
Let’s solve the problem step by step:
Step 1: Define the variables
- Let Josh’s money be xxx.
- Aaron has 3 times as much money, so Aaron’s money is 3x3x3x.
Step 2: After Aaron gives Josh $50
- Aaron will have 3x−503x - 503x−50.
- Josh will have x+50x + 50x+50.
The condition says that Josh will then have 3 times as much money as Aaron:
x+50=3(3x−50)x + 50 = 3(3x - 50)x+50=3(3x−50)
Step 3: Solve for x
x+50=9x−150
x−9x=−150−50
−8x=−200
x=25x = 25x=25
Step 4: Find the total money
- Josh has x=25x = 25x=25.
- Aaron has 3x=753x = 753x=75.
Total money:
25+75=100
Final Answer:
(A) $100