Problema Solution
The United States earned a total of 103 medals at the 2004 Olympiccs. The number of gold medals earned was 6 more than the number of bronze medals. The number of silver medals earned was 10 more than the number of bronze medals. How many of each kind of medal did the United States earn?
Answer provided by our tutors
let
g = the number of golden medals earned
s = the number of silver medals earned
b = the number of bronze medals earned
The United States earned a total of 103 medals at the 2004 Olympiccs:
g + s + b = 103
The number of gold medals earned was 6 more than the number of bronze medals:
g = 6 + b
The number of silver medals earned was 10 more than the number of bronze medals:
s = 10 + b
by solving the system of equations:
g + s + b = 103
g = 6 + b
s = 10 + b
we find:
g = 35 gold medals
s = 39 silver medals
b = 29 bronze medals
click here to see the step by step solution of the system of equations:
United States earned: 35 gold medals, 39 silver medals and 29 bronze medals.