Respuesta :
Answer: They won 22 gold, 18 silver and 12 bronze.
Step-by-step explanation: Suppose gold is g, silver is s and bronze is b.
The number of silver was 6 less than twice of bronze: s = 2b - 6
Gold was 4 more than silver: g = s + 4
Total is 52: g + s + b = 52
We have 3 equations and 3 variables. To determine each one:
s = 2b - 6 (1)
g = s + 4 (2)
g + s + b =52 (3)
Substitute (1) in (2):
g = 4 + 2b - 6
g = 2b - 2 (4)
Using (1) and (4), substitute in (3)
2b - 2 +2b - 6 + b = 52
5b = 52+8
b= [tex]\frac{60}{5}[/tex]
b = 12
With b, we find s:
s = 2.12 - 6
s = 18
With s, we find g:
g = 4 + 18
g = 22
Therefore, the team won 22 gold, 18 silver and 12 bronze.
Answer:
Gold : 22 medals , Silver : 18 medals, Bronze : 12 medals
Step-by-step explanation:
Solution:-
- Denote the total number of medals won by USA, T = 52
- The number of bronze medals = x
- The number of silver medals = y
- The number of gold medals = z
- We are given that number of silver medals (y) was 6 ​fewer (less)​ than twice the number of bronze medals (x). So the mathematical representation of this observation would be:
                 y = 2x - 6 Â
- Similarly, the number of gold medals (z) was ​four more than​ the number of silver medals (y).  So the mathematical representation of this observation would be:
                 z = y + 4
- The total number of medals T:
                T = x + y + z
- We have 3 equations and 3 unknowns. Solve the equations simultaneously,
                z = 2x - 6 + 4 = 2x - 2
                T = x + ( 2x - 6 ) + ( 2x - 2)
            ��    52 = 5x - 8
                5x = 60
                x = 12 bronze medals
                z = 2x - 2
                z = 2*12 - 2
                z = 22 gold medals
                z = y + 4
                y = 22 - 4
                y = 18 silver medals
