### Home > INT1 > Chapter 11 > Lesson 11.2.3 > Problem11-74

11-74.

The US Mercury dime was minted and in circulation between 1916 and 1945. Coin collectors often seek old, good condition Mercury dimes to add to their collections. Originally the coins weighed $2.5$ grams, but this could vary as much as $3\%$. A certain coin made in 1921 listed for sale online weighs $2.35$ grams. Your friend wants to buy it, because it is a really good deal, but he is worried that it is a scam. Is the coin legitimate? Write and solve an absolute value inequality for this situation. Then decide if you think the coin is real or not.

What is $3\%$ of $2.5$ grams? You will need this number as part of your inequality.

$\left|w − 2.5\right|( .03)2.5$

After solving this inequality, explain your decision as to whether this coin is real or not.