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A disc Jockey must play 16 commercial spots during 1 hour of radio show?

A disc Jockey must play 16 commercial spots during 1 hour of radio show Each commerical is either 30 sec or 60sec long if the total commerical time during 1 hour is 13 min how many 30 sec commericals were played in that hour? how many 60 sec commericals were played?

Public Comments

1. 10 Sixty second commercials were played and 3 thirty second commercials were played. .5x+1y=13 and x+y=16 Solve for x and substitute .5(16-y)+1y=13 8-.5y+1y=13 8+.5y=13 y=10 then solve for x
2. 30 sec = x, 60 sec = y x+y = 16----------1 30x+60y = 780(13*60)--------2 multiply eqxn 1 by 30, eqxn 2 by 1, to eliminate x 30x +30y = 480 30x +60y = 780 30y = 300 y = 10 sub y = 10 30x + 300 = 480 30x = 180 x= 6