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Answered

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Sagot :

Answer:

The number of children = x = 173

The number of Adults = y = 201

Step-by-step explanation:

Let the number of children = x

The number of Adults = y

Charge per child = $3

Charge per Adult = $5

Total number of tickets sold = 374

Amount raised = $1524

System of Equations

x + y = 374..... Equation 1

x = 374 - y

3x + 5y = 1524....Equation 2

We solve this question using substitution method

We substitute 374 - y for x in Equation 1

3(374 - y) + 5y = 1524

1122 - 3y + 5y = 1524

- 3y + 5y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Solving for x

x = 374 - y

x = 374 - 201

x = 173

Hence:

The number of children = x = 173

The number of Adults = y = 201

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