SOLUTION: The total fee of a group of adults and children is Rs. 13.5. Each childs fee is one half of each adults fee and adults fee is Rs.3. If there are three more children than adults in

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The total fee of a group of adults and children is Rs. 13.5. Each childs fee is one half of each adults fee and adults fee is Rs.3. If there are three more children than adults in       Log On


   

Question 1144194: The total fee of a group of adults and children is Rs. 13.5. Each childs fee is one half of each adults fee and adults fee is Rs.3. If there are three more children than adults in the group then the number of members of the group is
Answer by Theo(13342) About Me  (Show Source):
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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.