SOLUTION: the total numbers of passengers riding a certain city bus during morning shift is 1000.If the child's fare is RM0.50,the adult fareis RM1.50 and the total revenue from the fares in

Question 664993: the total numbers of passengers riding a certain city bus during morning shift is 1000.If the child's fare is RM0.50,the adult fareis RM1.50 and the total revenue from the fares in the morning shift is RM 1300,how many children and how many adults rode the bus during the morning shifts?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x = children
y = adults
...
x+y = 1000, which is the same as x = 1000-y
.5(x) + 1.5(y) = 1300
...
Substitute x into the second equation
.5(1000-y) + 1.5y = 1300
500 - .5y + 1.5y = 1300
Combine like terms
1y = 1300 - 500
1y = adults
...
.5x + 1.5(800) = 1300
.5x = 1300 - 1200
.5x = 100
x = children
...
Check
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