Question 129649
80X+85Y=1225 OR 80X=1225-85Y OR X=(1225-85Y)/80
80(X+.5X)+85(Y-.2Y)=1540
80*1.5X+85*.8Y=1540
120X+68Y=1540
NOW REPLACE X BY (1225-85Y)/80
120(1225-85Y)/80+68Y=1540
1.5(1225-85Y)+68Y=1540
1837.5-127.5Y+68Y=1540
-59.5Y=1540-1837.5
-59.5Y=297.5
Y=-297.5/-59.5
Y=5 NUMBER OF THE ORIGINAL $85 HOURLY WORKERS.
X=(1225-85*5)/80
X=(1225-425)/80
X=800/80
X=10 NUMBER OF ORIGINAL $80 HOURLY WORKERS.
PROOF:
80*10+5*85=1225
800+425=1225
1225=1225