Question

Help please

The admission fee at an amusement park is $2.00 for children and $5.20 for adults. On a certain day, 355 people entered the park, and the admission fees collected totaled $1334. How many children and how many adults were admitted?


number of children equals------------

number of adults equals---------------

Answer 1

Let x represent the number of children that were admitted.

Let y represent the number of adults that were admitted.

On a certain day, 355 people entered the park. It means that

`\text{x} + \text{y} = 355`

The admission fee at the amusement park is $2.00 for children and $5.20 for adults. The admission fees collected on that day totaled $1334. It means that

`2\text{x} + 5.2\text{y} = 1334` - - - - - - - - - - 1

Substituting
`\text{x} = 355 - \txt{y}` into equation 1, it becomes

`2\text{x} + 5.2\text{y} = 1334`

`2(355 - \text{y}) + 5.2\text{y} = 1334`

`710 - 2\text{y} + 5.2\text{y} = 1334`

`-2\text{y} + 5.2\text{y} = 1334 - 710`

`3.2\text{y} = 624`

`\text{y} = (624)/(3.2)`

`\boxed{\bold{y=195}}`

`\text{x} = 355 - \text{y} = 355 - 195`

`\boxed{\bold{x=160}}`

Therefore, 160 children and 195 adults were admitted.