# A community sponsored a charity square dance where admission was $3 for adults and$1.50 for children. If 168 people attended the dance and the money raised was $432, how many adults and how many children attended the dance? ##### 1 Answer May 28, 2016 $120$adults and $48$children attended the dance. #### Explanation: Let the number of adults attended the dance be $x$Let the number of children attended the dance be $y$Now by condition ; $x + y = 168$(1) and 3*x+1.50*y=$432(2)
Multiplying (1) by 3 we get $3 x + 3 y = 504 \left(3\right)$
$3 x + 1.5 y = 432 \left(4\right)$
Subtracting (4) from (3) we get $1.5 \cdot y = 72 \mathmr{and} y = 48 \therefore x = 168 - 48 = 120$[Ans]