SOLUTION: The United States earned 104 medals at the 2012 Summer Olympics. The number of silver medals was the same as the number of bronze medals. The number of gold medals was 17 more than

Algebra ->  Equations -> SOLUTION: The United States earned 104 medals at the 2012 Summer Olympics. The number of silver medals was the same as the number of bronze medals. The number of gold medals was 17 more than      Log On


   

Question 947312: The United States earned 104 medals at the 2012 Summer Olympics. The number of silver medals was the same as the number of bronze medals. The number of gold medals was 17 more than the number of silver medals. How many of each kind of medal did the United States earn?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we are given
The number of silver medals was the same as the number of bronze medals.
let x be the number of silver medals and x is also the number of bronze medals.
The number of gold medals was 17 more than the number of silver medals,
let x+17 be the number of gold medals, then
x +x +x+17 = 104
3x +17 = 104
3x = 87
x = 29
therefore there are
29 bronze medals, 29 silver medals, 46 gold medals