Question

The table shows a list of U.S. coins and the mass of each coin. Use the table to answer Exercises 1-3.

Answer 1

Let the mass of each coin in her pocket be x.

Since it is given that she has 8 of the coin in her pocket, she will have 8x in mass in her pocket.

Equate this to the total weight 45.36g:

`8x=45.36`

Solve the equation for x:

`\begin{gathered} 8x=45.36 \\ \text{Divide both sides of the equation by 8:} \\ \Rightarrow(8x)/(8)=(45.36)/(8) \\ \Rightarrow x=5.67 \end{gathered}`

This implies that the mass of each coin in her pocket is 5.67g.

From the given table, the coin with a mass of 5.67 is the quarter.

Hence, the type of coin she has in her pocket is the quarter.

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