SOLUTION: A video store received two shipments of video cassettes. The value of the first shipment, which contained eight 4-hour and sixteen 8-hour cassettes, was $296. The value of the seco

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Question 467049: A video store received two shipments of video cassettes. The value of the first shipment, which contained eight 4-hour and sixteen 8-hour cassettes, was $296. The value of the second shipment, which contained six 4-hour and eighteen 8-hour cassettes was $252. Find the x, the cost of a 4-hour cassettes and y, the cost of an 8-hour cassette.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
(1) +8x+%2B+16y+=+296+
(2) +6x+%2B+18y+=+252+
Multiply Both sides of (1) by 3
Multiply both sides of (2) by 4
Then subtract (1) from (2)
(2) +24x+%2B+72y+=+1008+
(1) +-24x+-+48y+=+-888+
+24y+=+120+
+y+=+5+
Plug this back into (1)
(1) +8x+%2B+16%2A5+=+296+
(1) +8x+%2B+80+=+296+
(1) +8x+=+216+
(1) +x+=+27+
check answers:
(2) +24x+%2B+72y+=+1008+
(2) +24%2A27+%2B+72%2A5+=+1008+
(2) +648+%2B+360+=+1008+
(2) +1008+=+1008+
OK