Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket

adult = $11

Child = $8.5

Step-by-step explanation:

Let the cost of an adult ticket be a

Let the cost of child ticket be c.

From the question,

3a + 4c = $67 i

5a + 6c = $106 ii

Multiply equation I by 5

Multiply equation ii by 3

15a + 20c = $335

- 15a + 18c = $318

2c = $17

C = $17/2 = $8.5

Put the value of c into

3a + 4c = $67

3a + 4($8.5) = $67

3a + $34 = $67

3a = $67 - $34

3a = $33

a = $11

Cost of adult ticket = $11

cost of child ticket = $8.5

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363