For a local carnival, adult tickets cost $32 and child tickets cost $14. If 193 people attended the carnival, and they paid $4034 altogether, how many adults and how many children were there? Write a system of equations that can be used to represent this scenario.

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Аноним Аноним · Answer 1 · 2016-10-19T17:22:47+02:00

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swapnalimalwadeVT swapnalimalwadeVT · Answer 2 · 2022-07-25T10:13:15+02:00

There are 199 children and 74 adults.

We have given that, For a local carnival, adult tickets cost $32 and child tickets cost $14.

If 193 people attended the carnival, they paid $4034 altogether.

We have to determine how many adults and how many children were there.

An equation is a mathematical statement with an equal symbol between two expressions that have equal values.

Total child+Total adult=193

x+y=193

child paid 14x $ + adult paid 32y=4034$

14x+32y=4034

14x+14y+18y=4034

14(x+y)+18y=4034

14(193)+18y=4034

18y=4034-2709

18y=1332

y=74 adult

x+74=193

x=119 child

There are 199 children and 74 adults.

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