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Musem Admission Prices. Admission to the Indianapolis Children's Museum costs $5 more...

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hotmamma18 | Student, College Freshman | Honors

Posted April 12, 2013 at 3:45 AM via web

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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.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 17, 2013 at 5:12 AM (Answer #3)

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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.

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oldnick | Valedictorian

Posted April 13, 2013 at 1:35 AM (Answer #2)

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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:

`2(c+5$)+2c=14$`

developing:  

`2c +10$ +2c = 14$`

set it strigth:

`4c+10$=14$`

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

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