Question #53f80

2 Answers
José Roberto Pereira
Oct 22, 2015

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#

MeneerNask
Oct 22, 2015

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!

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