The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s and the solution is g=46, s=29, b=29
How to select the linear equation in standard form for three unknowns?
(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:
g + s + b = 104
(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:
g = 46
s = b
Thus, the relationship between the number of silver to bronze medals is s = b
(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:
g + s + b = 104
46 + b + b = 104
46 + 2b = 104
2b = 104 -46
2b = 58
b = 58/2
b = 29
Also, s = 29 (Remember: s = b)
Thus, g = 46, s =29, b = 29
Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively
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