Represent Real-World Problems At Raging River Sports, polyester-fill sleeping bags sell for $79. Down-fill sleeping bags sell for $149. In one week the store sold 14 sleeping bags for $1,456. a. Let \(x\) represent the number of polyester-fill bags sold and let \(y\) represent the number of down-fill bags sold. Write a system of equations you can solve to find the number of each type sold.
Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solving a system of equations. Explain how you solved the system.