Question

Step Correct On May 27, the Miller family received 31 pieces of mail, consisting of magazines, ads, letters and bills. If they received three more ads than letters, five more bills than ads, and the same number of magazines as letters, how many magazines did they receive? Tri Keypad

Answer 1

Let magazine be represented by m

Let ads be represented by a

Let the letter be represented by l

Let bills be represented by b

Three more ads than letters =>

a = 3 + l

Five more bills than ads

b = 5 + a = 5 + 3 + l= 8 + l

The same number of the magazine as letters mean that m = l

so if the sum of mail = 31

Therefore

3 + l + 8 + l + l + l = 31

4l = 31 - 11

4l = 20

l = 20/4 = 5

Since m = l

Then, m = 5

Thus the number of magazines they receive is 5