Question

Question #53f80

Answer 1

225 adults

700 children

Explanation:

a = number of adults
c = number of children

`{(a+c=925),(8a+6c=6000):}`

Multiplying the first equation by 8:

`{(8a+8c=7400),(8a+6c=6000):}`

Subtracting:

`2c=1400`

`c=1400/2=700`

`a=925-700=225`

Answer 2

The way to deal with this kind of question is to ask two questions:
- How much if everything was sold at the low price?
- What's the difference between low and high?

Explanation:

If all tickets were sold to children, she would get:
`925*$6=$5550`

The difference is `$6000-$5550=$450`

The difference between an adult and a child's ticket is `$2`

So she must have sold `($450)/($2)=225` tickets to adults.

Which leaves `925-225=700` tickets for children

Check : `225*8+700*6=6000` Check!