Answer:
5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.
Step-by-step explanation:
We are given the following in the question:
Bobby buys 10 pounds seafood for $30.
Let x pounds of shrimp be purchased and y pounds of crawfish.
Thus, we can write,
![x + y =10](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D10)
Cost of shrimp = $5 per pound
Cost of crawfish = $1 per pound
Total money spent = $30
Thus, we can write the equation,
![5x + y = 30](https://tex.z-dn.net/?f=5x%20%2B%20y%20%3D%2030)
Solving the two equation by elimination method,
![5x + y-(x+y) = 30-10\\4x = 20\\x = 5\\y = 10 - x = 10 - 5 = 5](https://tex.z-dn.net/?f=5x%20%2B%20y-%28x%2By%29%20%3D%2030-10%5C%5C4x%20%3D%2020%5C%5Cx%20%3D%205%5C%5Cy%20%3D%2010%20-%20x%20%3D%2010%20-%205%20%3D%205)
Thus, 5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.