How much per KG

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How much per KG

Postby brown.ds » Wed May 22, 2013 2:30 am

2KG Trout & 3kg cod = \$144
3kg Trout & 2kg cod = \$156

How much per kg for each type of fish?

How to attempt this question?

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Re: How much per KG

Postby Math Tutor » Thu May 23, 2013 7:39 am

2KG Trout & 3kg cod = \$144
3kg Trout & 2kg cod = \$156


2*trout + 3*cod = 144 <=> trout = (144 - 3cod)/2


3*trout + 2*cod= 156
3(144 - 3cod)/2 + 2cod = 156
3(144 - 3cod) + 4cod = 156*2
432 - 9cod+4cod = 312
-5cod = -120
cod = $24 per kg

trout = (144 - 3cod)/2

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Re: How much per KG

Postby leesajohnson » Fri Jan 08, 2016 8:08 am

2KG Trout & 3kg cod = \$144 ---- 1st equation
3kg Trout & 2kg cod = \$156 ------2nd equation

By solving 1st equation, we will get

2*trout + 3*cod = 144 <=> trout = (144 - 3cod)/2 -----3rd equation

Put this value of trout from equation 3rd into 2nd equation, we get

3*trout + 2*cod= 156
3(144 - 3cod)/2 + 2cod = 156
3(144 - 3cod) + 4cod = 156*2
432 - 9cod+4cod = 312
-5cod = -120
cod = \$24 per kg

So, the Cod is \$24 per kg and now we will put this value into 2nd equation

3*trout + 2*24= 156
3t + 48 =156
3t = 156 - 48
3t = 108
t= 108/3
t= 36
So we find the value of trout = \$36 per kg

Trout = \$36 per kg & Cod = \$24 per kg

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Re: How much per KG

Postby Guest » Fri Jan 08, 2016 2:55 pm

Let T = cost per kg of Cod and T = Cost per kg of Trout
2T + 3C = 144
3T + 2C = 156
T - C = 12 --> T = 12 + C

24 + 2C + 3C = 144

5C = 120
C = 24
T = 36

So Cod is \$24 per Kg
and Trout is \$36 per Kg

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