Musem Admission Prices. Admission to the Indianapolis Children's Museum costs $5 more for an adult than a child (Source: Indianapolis Children's Museum). Admission to the museum for two adults and two children costs $14. Find the cost of two adult's and each childs admission.
The cost of entering the Indianapolis Children's Museum is $5 more for an adult than it is for a child. Let the cost of admission for a child be X, the cost of admission for an adult is X + 5. The total cost of admission for two adults and two children is $14.
This gives X + X + X + 5 + X + 5 = 14
=> 4X = 4
=> X = 1
The cost of entry for a child is $1 and that for an adult is $6.
The cost of entry for 2 adults is $12 and each child can enter the museum for $1.
Let be C for child and A for Adult: We have:
`2a + 2c= 14$` now we know that `a= c+5$`
by subsitution we get:
`2c +10$ +2c = 14$`
set it strigth:
subtracting 1o$ both sides:
`4c+10$ -10$= 14$ - 10$`
that is: `4c=4$` `c= 1$`
therefore `a=6$` and two adults spends `12$` and `1$` per child