Given the following system, what should the second equation be multiplied by so that x is eliminated?
2 answers:
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Answer
Find out the how many of each metal did your team win.
To prove
As given
Your team wins 18 medals at a competition.
The metals are gold, silver, and bronze in a ratio of 2:4:3.
Let us assume that x be the scalar multiple of the gold, silver and bronze medal.
Thus
Number of gold medal = 2x
Number of silver medal = 4x
Number of bronze medal = 3x
Than the equation becomes
2x + 4x + 3x = 18
9x = 18
x = 2
Number of gold medal = 2 × 2
= 4
Number of silver medal = 4 × 2
= 8
Number of bronze medal = 3 × 2
= 6
Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.