Question

(a) A group recently attended a performance at a nearby theatre. The number of adults who attended was five more than twice the number of children. The difference between number of adults and number of children was 18. Determine the number of children and the number of adults who attended the performance.​

Answer 1

There are 13 children and 31 adults.

Explanation:

x = children

y = adults

2x + 5 = y

y - x = 18

since y = 2x+5, it can be replaced with this in the equation

2x + 5 - x = 18

x + 5 = 18

x = 12

A total of 13 children attended

2x + 5 = y

2*13 + 5 = 29

31 adults attended