If there are tickets sold to children for $5 and $12 to adults, and there are only 400 tickets sold for $3925 then how many children tickets were sold?

125 children tickets were sold

Solution:

Given that  

Price of 1 ticket sold to children = $5

Price of 1 ticket sold to adult = $12

Total number of ticket sold = 400

Amount generated by selling 400 tickets = $3925.

Need to calculate number of ticket sold to children’s

Let’s assume number of tickets sold to childrens = x

So number of tickets sold to adults = 400 – x

Amount generated from x ticket sold to children

Amount generated from (400 – x) tickets sold to adults

Total amount generated from 400 tickets = Amount generated from children’s tickets + Amount generated from adults ticket  

= 5x + (4800 – 12x) = 4800 -7x

As given that amount generated = 3965

=> 3965 = 4800 – 7x

Solving above expression to get value of x, we get

7x = 4800 - 3965  

=> 7x = 875

=> x = 125.

Hence number of children tickets sold = 125.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b