Question

Timothy borrowed $\$20$ from Ron on Monday and bought a pair of jeans that costs $\$19$. On Tuesday, he got an allowance of $\$25$ which he used to pay his debt to Ron. On Thursday, Timothy earned some money running errands for his neighbors around town. On Friday, he met Ron and Chris in an amusement park where they spent $\$30$ in total which they shared equally. After sharing the cost it turns out that Timothy had no money left. Assuming that he doesn't owe any money to anyone how much money did Timothy earn on Thursday?

• A. $\$5$
• B. $\$4$
• C. $\$6$
• D. $\$7$

Answer 1

The correct option is B $\$4$

Timothy borrowed $\$20$.
Money spent by him on a pair of jeans = $\$19$.
Remaining money = $\$20$ - $\$19$ = $\$1$
Money that Timothy had after getting allowance of $\$25$ = $\$25$+ remaining money = $\$25$ + $\$1$ = $\$26$
Money left to Timothy after returning Ron's money
= $\$26$ - $\$20$
= $\$6$
In amusement part,
Total money spent = $\$30$
Since, this whole money was equally shared, each one spent $\frac{\$30}{3}=\$10$.

Let, Timothy earned $\$x$ on Thursday.
Since after the amusement park incident, he had left no money, we can write:
money earned on Thursday + $\$6$ = $\$10$
$\Rightarrow$ x + $\$6$ = $\$10$
$\Rightarrow$ x = $\$10$ - $\$6$
$\Rightarrow$ x = $\$4$

Answer: Timothy earned $\$4$ on Thusrday.