Mathematical 1 Keep Trying In a recent year, a letter to Europe PRAGTICE from the United States costs $$ \$ 0.94 $$ to mail. A letter mailed within the United States costs $$ \$ 0.44 $$. Nancy mailed 5 letters for $$ \$ 3.70 $$, some to Europe and some to the United States. How many letter did she send to Europe?

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To determine how many letters Nancy sent to Europe, let's set up the problem using algebra.

**Let:**
- $$ x $$ = number of letters sent to Europe
- $$ y $$ = number of letters sent within the United States

**Given:**
1. The total number of letters sent is 5:
   $$
   x + y = 5
   $$
2. The total cost of mailing the letters is \$3.70. Letters to Europe cost \$0.94 each, and letters within the U.S. cost \$0.44 each:
   $$
   0.94x + 0.44y = 3.70
   $$

**Step-by-Step Solution:**

1. **Express $$ y $$ in terms of $$ x $$:**
   $$
   y = 5 - x
   $$
   
2. **Substitute $$ y $$ into the cost equation:**
   $$
   0.94x + 0.44(5 - x) = 3.70
   $$
   
3. **Simplify the equation:**
   $$
   0.94x + 2.20 - 0.44x = 3.70
   $$
   $$
   (0.94 - 0.44)x + 2.20 = 3.70
   $$
   $$
   0.50x + 2.20 = 3.70
   $$
   
4. **Solve for $$ x $$:**
   $$
   0.50x = 3.70 - 2.20
   $$
   $$
   0.50x = 1.50
   $$
   $$
   x = \frac{1.50}{0.50} = 3
   $$

**Conclusion:**
Nancy sent **3 letters** to Europe.
Nancy sent 3 letters to Europe.

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