14. Joshtua and Dave had an equal amount of money, Joshua spent $$ \$ 125 $$ and Dave spent \$135 in the end, Joshua had thrice as much money as Dave. How much money did Joshua have at first?

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Joshua initially had $140. Let the initial amount of money that both Joshua and Dave had be $$ x $$. After spending, Joshua has: $$ x - 125 $$ and Dave has: $$ x - 135 $$ According to the problem, after their expenditures, Joshua has thrice as much money as Dave: $$ x - 125 = 3(x - 135) $$ Now, we can solve this equation step by step. 1. Expand the right side: $$ x - 125 = 3x - 405 $$ 2. Rearrange the equation to isolate $$ x $$: $$ x - 3x = -405 + 125 $$ $$ -2x = -280 $$ 3. Divide both sides by -2: $$ x = 140 $$ Thus, Joshua had $$ \boxed{140} $$ dollars at first. To verify: - After spending, Joshua has $$ 140 - 125 = 15 $$ dollars. - After spending, Dave has $$ 140 - 135 = 5 $$ dollars. - Check if Joshua has thrice as much as Dave: $$ 15 = 3 \times 5 $$ This is true, confirming that the solution is correct. Joshua initially had $$ \boxed{140} $$ dollars.

14. Joshtua and Dave had an equal amount of money, Joshua spent \( \$ 125 \) and Dave spent \$135 in the end, Joshua had thrice as much money as Dave. How much money did Joshua have at first?

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14. Joshtua and Dave had an equal amount of money, Joshua spent \( \$ 125 \) and Dave spent \$135 in the end, Joshua had thrice as much money as Dave. How much money did Joshua have at first?

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