Question

In a recent year a letter to Europe from United date cost $ 0.94 to mail a letter mailed within the United States cost $0.44 nancy mailed for $3.70 some to Rourke and some to United States how many letter did she send to europe

Answer 1

Answer: she mailed 3 letters to Europe

Explanation:

Let x represent the number of letters that Nancy mailed to Europe.

Let y represent the number of letters that Nancy mailed to United States.

Nancy mailed 5 letters, some to Europe and some to the United States. This means that

x + y = 5

A letter mailed within the United States costs $0.44. A letter to Europe from United date cost $ 0.94 to mail. If the letters that Nancy mailed cost $3.70, then

0.94x + 0.44y = 3.7 - - - - - - - - - - - -1

Substituting x = 5 - y into equation 1, it becomes

0.94(5 - y) + 0.44y = 3.7

4.7 - 0.94y + 0.44y = 3.7

- 0.94y + 0.44y = 3.7 - 4.7

- 0.5y = - 1

y = - 1/ - 0.5 = 2

x = 5 - y = 5 - 2

x = 3