qveenl
27.07.2019 •
Mathematics
Jen butler has been pricing speed-pass train fares for a group trip to new york. three adults and four children must pay $ 104. two adults and three children must pay $ 73. find the price of the adult's ticket and the price of a child's ticket.
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Ответ:
Our system of equations would be:
3A + 4C = 104
2A + 3C = 73
We want the coefficients of one of these variables to be the same in order to eliminate it; we will multiply the top equation by 2 and the bottom equation by 3:
2(3A + 4C = 104)
3(2A + 3C = 73)
6A + 8C = 208
6A + 9C = 219
Subtract the bottom equation:
6A + 8C = 208
-(6A + 9C = 219)
-1C = -11
Divide both sides by -1:
-1C/-1 = -11/-1
C = 11
Substitute this into the first equation:
3A + 4(11) = 104
3A + 44 = 104
Subtract 44 from both sides:
3A + 44 - 44 = 104 - 44
3A = 60
Divide both sides by 3:
3A/3 = 60/3
A = 20
Ответ:
Sharlene Cartwright-Robinson
Explanation: