Sue's Sushi placed two orders with its fish supplier. One order was for 11 pounds of salmon and 6 pounds of tuna; the order totaled $152. The other order was for 8 pounds of salmon and 4 pounds of tuna; this order totaled $108. What is the cost for one pound of salmon and one pound of tuna?

Respuesta :

Hi there

One pound of salmon will cost $13, and one pound of tuna will cost $8.

Here's why.

X will be the cost of pound of salmon, and y will be the cost of a pound of tuna.
| 15x+8y=259
| 12x+6y-204

6y = 204-12x
y=34-2x

15x+8(34-2x)=259
272-259=16x-15x
x=13

y=34-2*13
y=34-26
y=8

So, again...
1lb Salmon : $13
1lb Tuna : $8