sullivanjared88 sullivanjared88

02-10-2017
Mathematics

contestada

three adults and four children must pay $107. two adults and three children must pay $76. find the price of the adult ticks and the price of a childs ticket

Respuesta :

02-10-2017

assigning "a" as cost of adult tickets and "c" the cost of children's tickets.

3a + 4c = 107
2a + 3c = 76

elimination method
2(3a + 4c = 107)
-3(2a + 3c = 76)

6a + 8c = 214
-6a - 9c = -228
----------------------
0 - c = - 14
c = 14

Then 2a + 3(14) = 76
2a = 76 - 42
2a = 34
a = 34/2
a = 17

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