Teresa and Nancy make 135 pins for a fund-raising project. Teresa makes 37 more pins than Nancy. How many pins does Teresa make?

Question

Teresa and Nancy make 135 pins for a fund-raising project. Teresa makes 37 more pins than Nancy. How many pins does Teresa make?

Answer 1

Let x = the number of pins that Nancy made

Let x + 37 = the number of pins that Teresa made

x + x + 37 = 135

2x + 37 = 135      Subtract 37 from both sides.

2x = 98                Divide both sides by 2.

x = 49 pins made by Nancy

x + 37 = 49 + 37 = 86 pins made by Teresa