Medal question

Question

The rheee medals earned in the Olympics are the gold, silver and bronze. In the Olympics the USA has 28 total medal winners. There were two more gold medals than silver medals and the number of bronze medals was four less than the sum of the number of gold and silver medals. How many winners were there ofceach type of medal?

Answer 1

G=gold medals

S=silver medals

B=bronze medals

G=2+S

B=(G+S)-4

G+S+B=28

Now substitute in

G+S+(G+S-4)=28

(2+S)+S+((2+S)+S-4)=28

4S+2+2-4=28

4S=28

S=7

Now plug this back into your initial equations

G=2+7=9

S=7

B=9+7-4=12

To check

9+7+12=28