Eva and Dulcina have 82 pins together. Dulcina has 34 more pins than Eva. How many pins are in Dulcinas collection? How many pins are in Eva's collection?

Mathematics · High School · Thu Feb 04 2021

Answered on

Let Eva has x pins

Then, according to question Dulcina has (x + 34) pins

Total pins = 82

Hence,  x + x + 34 = 82

                   2x + 34 = 82

Transposing 34 to other side, we get

                       2x = 82 - 34

                       2x = 48

Dividing both sides by 2, we get

                     2x/2 = 48/2

                          x = 24

So, Eva has 24 pins.

Then, Dulcina =  (x + 34)

                         = 24 + 34

                         = 58

 

Therefore,  Eva has 24 pins and Dulcina has 58 pins.