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:
[tex]8x=45.36[/tex]
Solve the equation for x:
[tex]\begin{gathered} 8x=45.36 \\ \text{Divide both sides of the equation by 8:} \\ \Rightarrow\frac{8x}{8}=\frac{45.36}{8} \\ \Rightarrow x=5.67 \end{gathered}[/tex]
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.
T
