Question

Two families go to a 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

Answer 1

children = £8.5

adults = £11

Explanation:

5 (3a + 4c = 67)

-3 (5a + 6c = 106)

15a + 20c = 335

-15a - 18c = -318

2c = 17

c = £8.5

3a + 4 x 8.5 = 67

3a + 34 = 67

3a = 33

a = £11

Answer 2

1.) 5 (3a + 4c = 67)

2.) -3 (5a + 6c = 106)

1.) 15a + 20c = 335

2.) -15a - 18c = -318

_____________________

2c = 17

divide both sides by 2

c = £8.5

substitute c for 8.5 to find a

3a + 4 * 8.5 = 67

3a + 34 = 67

subtract 34 from both sides

3a = 33

divide both sides by 3

a = £11

Hope this is helpful