In bisbee, arizona, an old mining town, you can buy souvenir nuggets of gold, silver, and bronze. for $20, you can buy any of the following mixtures of various nuggets: (a) 14 gold, 20 silver, and 24 bronze (b) 20 gold, 15 silver, and 19 bronze (c) 30 gold, 5 silver, and 13 bronze write the systems of equations to represent these equations. (there are three answers) 14g + 15s + 13b = 20 30g + 5s + 13b = 20 5g + 13s + 20b = 30 24g + 15s + 14b = 5 20g + 15s + 19b = 20 14g + 20s + 24b = 20 30g + 15s + 24b = 20 20g + 20s + 20b = 20

Let g dollars be the price of gold nuggets, s dollars - the price of silver nuggets and b dollars - the price of bronze nuggets.

1)

If 1 gold nuggets costs $g, then 14 gold nuggets cost $14g;If 1 silver nuggets costs $s, then 20 silver nuggets cost $20s;If 1 bronze nuggets costs $b, then 24 bronze nuggets cost $24b.

In total they cost $20, then

14g+20s+24b=20.

2)

If 1 gold nuggets costs $g, then 20 gold nuggets cost $20g;If 1 silver nuggets costs $s, then 15 silver nuggets cost $15s;If 1 bronze nuggets costs $b, then 19 bronze nuggets cost $19b.

In total they cost $20, then

20g+15s+19b=20.

3)

If 1 gold nuggets costs $g, then 30 gold nuggets cost $30g;If 1 silver nuggets costs $s, then 5 silver nuggets cost $5s;If 1 bronze nuggets costs $b, then 13 bronze nuggets cost $13b.

In total they cost $20, then

30g+5s+13b=20.

The system of equations is

correct equations are 2, 5 and 6