# 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...

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.

justaguide | College Teacher | (Level 2) Distinguished Educator

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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.

oldnick | (Level 1) Valedictorian

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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