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maw [93]
2 years ago
12

Four adults and three childern go to the teater for 74, whereas two adults and five childern are chraged 58. find the price of a

n adult's ticket and a child's ticket.
Mathematics
1 answer:
Lilit [14]2 years ago
3 0

Answer:

the price of the adult's ticket is 14 and the price of the child's ticket is 6

Step-by-step explanation:

let \: x \:  = adult \\ y = child \\ 4x + 3y = 74  -  -  -  - 1\\ 2x + 5y = 58 -  -  -  -  - 2 \\ multiplying \:  -  - 2 \: by \: two \\ 4x + 10y = 116 -  -  -  - 3 \\ eqn3 - eqn1 \\ 4x - 4x + 10y - 3y = 116 - 74 \\ 7y = 42 \\ y =  \frac{42}{7}  \\ y = 6 \\ putting \: the \: value \: of \: y \: into \: eqn2 \\ 2x + 5(6) = 58 \\ 2x = 28 \\ x =  \frac{28}{2}  \\ x = 14

please rate brainliest if you think I deserve

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