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kotykmax [81]
3 years ago
10

On sports day at Lakewood middle school, gold, silver, and bronze medals were awarded to the top three finishers in each event M

iniature replicas of the medals were sold as souvenirs in booths around the field. For $26, attendees could purchase a package containing 5 gold, 4 silver, and 2 bronze replicas, or one containing 4 gold, 4 silver, and 4 bronze replicas, or one that had 3 gold, 4 silver, and 6 bronze replicas. Which system of equations may be used to find the price, in dollars, of each type of replica?
Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

5G + 4S + 2B = 26

2G + 2S + 2B = 13

3G + 4S + 6B = 26

Step-by-step explanation:

Given

Represent Gold with G, Silver with S and Bronze with B

Required

Determine the system of equations

The packages are represented as:

The first: 5G + 4S + 2B

The second: 4G + 4S + 4B

The third: 3G + 4S + 6B

Each of the package costs $26.

So, we have:

5G + 4S + 2B = 26 -- (1)

4G + 4S + 4B = 26 -- (2)

3G + 4S + 6B = 26 -- (3)

Divide both sides of (2) by 2

4G + 4S + 4B = 26

2G + 2S + 2B = 13

So, the system of equations are:

5G + 4S + 2B = 26

2G + 2S + 2B = 13

3G + 4S + 6B = 26

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