Chapter 6.1, Problem 51E

To determine

To calculate : thetotal number of stamps in the collection and the number of stamps from U.S. in the collection.

Answer to Problem 51E

The total number of stamps in the collection are $55$ and the number of stamps from U.S. in the collection are $40$ .

Explanation of Solution

Given information :

There are 15 stamps from Canada and they are $\frac{\text{3}}{11}$ of the total collection.

Calculation :

Let, $x$ be the total number of stamps.

The number of stamps from Canada are 15.

The number of stamps from U.S. are $\left(x-15\right)$ .

Since, the Canada stickers made up $\frac{3}{11}$ of the total collection.

The total number of stamps in the collection can be calculated as,

  $\begin{array}{l}\frac{15}{\frac{3}{11}}=\frac{x}{1}\\ \frac{3}{11}\times x=15\left[\text{cross multiply}\right]\\ \frac{3x}{11}\times 11=15\times 11\left[\text{multiply each side by 11}\right]\\ 3x=55\\ 3x÷3=165÷3\left[\text{divide each side by 3}\right]\\ x=55\end{array}$

The number of stamps from U.S. in the collection can be calculated as,

  $\begin{array}{l}\left(x-15\right)=\left(55-15\right)\\ \left(x-15\right)=40\end{array}$

Therefore,

The total number of stamps in the collection are $55$ and the number of stamps from U.S. in the collection are $40$ .