Answer:
The system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
Step-by-step explanation:
Let
x represent the number of polyester-fill bags sold
y represent the number of down-fill bags sold.
In one week the store sold 17 sleeping bags
x + y = 17 ...... Equation 1
x = 17 - y
At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.
Hence:
$76 × x + $141 × y = $1460
76x + 141y = 1460....... Equation 2
Therefore, the system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
