Simon and Cheko saved the same amount of money. Cheko spent $126 buying a birthday gift for her friend. In the end, Simon had 4 times as much as Cheko. How much did Simon have?$
Question
Simon and Cheko saved the same amount of money. Cheko spent
Solution
Let's solve this step by step:
Step 1: Let's assume the amount of money that Simon and Cheko saved is X.
Step 2: After buying a birthday gift, Cheko has (X - $126).
Step 3: According to the problem, Simon has 4 times as much as Cheko has now. So, Simon has 4 * (X - $126).
Step 4: But Simon didn't spend any money, so he still has X.
Step 5: Therefore, we can set up the equation X = 4 * (X - $126).
Step 6: Solving this equation will give us the amount of money Simon and Cheko saved, which is also the amount Simon has at the end.
Step 7: Simplify the equation: X = 4X - $504.
Step 8: Move 4X to the left side of the equation: -3X = -$504.
Step 9: Divide both sides by -3 to solve for X: X = 168.
So, Simon had $168.
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