Mr. Agpalo paid Php 260 for 4 adult’s tickets and 6 children’s tickets. Suppose the total cost of an adult's ticket and a children’s ticket is Php 55. How much does an adult's ticket cost?

2
by moorechien19

2015-05-14T20:53:55+08:00

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We let the price of an adult's ticket be A and C for children.

We have two equations:
4A + 6C = 260...[1]
A + C =55 ... [2]

We need to remove C in order to know the value of A so:
6[2] - [1]
6A + 6C = 330
-4A - 6C = -260
2A   = 70
A   = 35

Therefore the cost of an adult's ticket is P35

2015-05-15T19:05:10+08:00

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Lets represent:
y=cost of children ticket

The equation are
4x+6y=260
x+y=55

For the second equation, find the value of x
x+y=55
x=55-y
After finding it, substitute it to the first equation
4(55-y)+6y=260
220-4y+6y=260