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 $1456.

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.

B. Explain how you can solve the system for y by multiplying and subtracting.

C. Explain how you can solve the system for y using substitution.

D. How many of each type of bag were sold?

Question

Mathematics

Guest

11 April, 15:48

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 $1456.

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.

B. Explain how you can solve the system for y by multiplying and subtracting.

C. Explain how you can solve the system for y using substitution.

D. How many of each type of bag were sold?

+4

Answers (1)

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Ahmad · Answer 1

A.

x+y=14

79x+149y=1456

B.

-79 (x+y=14)

79x+149y=1456

-79x-79y=-1106

79x+149y=1456

70y=350

y=350/70

y=5

79x+149 (5) = 1456

79x+745=1456

79x=1456-745

79x=711

x=711/79

x=9

C.

x=-y+14

79 (-y+14) + 149y=1456

-79y+1106+149y=1456

-79y+149y=1456-1106

70y=350

y=350/70

y=5

x=-y+14

x=-5+14

x=9

D.

9 polyester-fill

5 down-fill