Question 1144194
x = number of children
y = number of adults
price per child is 1.5
price per adult is 3


1.5 * x + 3 * y = 13.5


x = y + 3
replace x with y + 3 to get:
1.5 * (y + 3) + 3 * y = 13.5
simplify to get:
1.5 * y + 4.5 + 3 * y = 13.5
combine like terms to get:
4.5 * y + 4.5 = 13.5
subtract 4.5 from both sides of the equation to get:
4.5 * y = 9
solve for y to get:
y = 9 / 4.5 = 2
since x = y + 3, then x = 5


to confirm, replace x with 5 and y with 2 in the original equation of:
1.5 * x + 3 * y = 13.5
you get:
1.5 * 5 + 3 * 2 = 7.5 + 6 = 13.5
this confirms the solution is correct.


the solution is that the number of members in the group are 5 children and 2 adults = 7 members total.