Help me solve this math equation thanks :)

Child fly at 3/4 of adult fare, so 2 adults and 3 child fly for $1734. what is cost of adult fare?
Equation needed as well.

Set up an equation where x is the variable that express the cost of an adult fare.
A child fare would be .75x, or (3/4)x (decimals are easier to type).

2x + 3(.75x) = 1734 [original equation]
2x + 2.25x = 1734 [multiply the constants]
4.25x = 1734 [add like terms]
x = 408 [divide both sides by 4.25]

An adult fare cost $408

Use x for the adult fair and 3/4x for child's fair.

2x + 3(3/4)x = 1734

2x + 9/4x = 1734

8/4x + 9/4x = 1734

17/4x = 1734

17x = 6936

x = 408

Adult fair is $408

C=3/4 A

2A + 3C = 1734

2A + 3(3/4 A) = 1734

(17/4)A = 1734

A=408

Adult fare costs $408.

Hope that helps! ;)