Two families go to a zoo. The Smith family of two adults and three children pay £61.
The Jones family of three adults and five children pay £96.
Work out the cost of an adult ticket and the cost of a child ticket.

Step-by-step:

2a+3c=61

2a=61-3c

a=30.5-1.5c

3a+5c=96,

3(30.5-1.5c)+5c=96

91.5-4.5c+5c=96

91.5+0.5c=96

0.5c=4.5

c=9, and since a=30.5-1.5c

a=17

adult tickets=£17.00

child tickets= £9.00

hopes it helps

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2