ing $$ \quad $$. Tom had 3 times as much money as Mary. After purchasing a mobile phone for $$ \$ 140 $$. Tom found that Mary had twice as much money as him. How much money did Mary have?

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Let $$ M $$ be the amount of money Mary had initially. Since Tom had 3 times as much money as Mary, we can express Tom's initial amount as $$ 3M $$.

After Tom purchased a mobile phone for $$ \$140 $$, his remaining amount of money is:

$$
3M - 140
$$

According to the problem, after this purchase, Mary had twice as much money as Tom. Therefore, we can set up the equation:

$$
M = 2(3M - 140)
$$

Now, let's solve for $$ M $$:

1. Distribute the 2 on the right side:

$$
M = 6M - 280
$$

2. Rearranging the equation gives:

$$
M - 6M = -280
$$

$$
-5M = -280
$$

3. Dividing both sides by -5:

$$
M = \frac{280}{5} = 56
$$

Thus, Mary had $$ \boxed{56} $$ dollars.

To verify, if Mary had $$ 56 $$ dollars, then Tom had:

$$
3M = 3 \times 56 = 168 \text{ dollars.}
$$

After Tom bought the mobile phone for $$ 140 $$ dollars, he had:

$$
168 - 140 = 28 \text{ dollars.}
$$

Now, checking if Mary has twice as much as Tom:

$$
2 \times 28 = 56 \text{ dollars,}
$$

which is indeed the amount Mary had. Therefore, the solution is confirmed: Mary had $$ \boxed{56} $$ dollars.
Mary had 56 dollars.

ing . Tom had 3 times as much money as Mary. After purchasing a mobile
phone for . Tom found that Mary had twice as much money as
him. How much money did Mary have?

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ing . Tom had 3 times as much money as Mary. After purchasing a mobile phone for . Tom found that Mary had twice as much money as him. How much money did Mary have?