A local fish market is selling fish and lobster by the pound. The fish costs $5.00 a pound, while the lobster
costs $10.50 a pound. The fish market sells 30 total pounds and makes $194. Represent this situation with a
system of equations and solve it to find how many pounds of fish and lobster were sold?

Question

A local fish market is selling fish and lobster by the pound. The fish costs $5.00 a pound, while the lobster
costs $10.50 a pound. The fish market sells 30 total pounds and makes $194. Represent this situation with a
system of equations and solve it to find how many pounds of fish and lobster were sold?

decentnabeel · Answer

@sweetburger

decentnabeel · Answer

@ShadowLegendX

decentnabeel · Answer

x=pounds of fish) 
y=pounds of lobster
5x+10.50y=194
x+y=30

to solve: 
No.1 5x+10.50y=194
No.2 x+y=30
subtract y on both sides of No.2
x=−y+30
replace x in No.1 with altered No.2
5(−y+30)+10.50y=194
−5y+150+10.50y=194
5.50y+150=194
5.50y=44
y=8

replace y with 8 in origional No.2 
x+8=30
x=22

xguardians · Answer

I should make a guide on how to solve constraint problems, I see so many of these and I feel like they are so repetitive :P. I believe the work you have done here is correct.