adult tickets cost $16 and child tickets cost $3. 23 There werepeople total and the money collected was $147.how many adults and how many children

Question

there are 23 total people. 16 dollars for adults. 3 for children. 147 dollars collected. how many children and how many adults?

Answer 1

A + C = 23

 

16A + 3C = 147

 

Solves the first equation for C:

  C = 23 - A

 

16A + 3(23 - A) = 147

16A + 69 - 3A = 147

13A = 147 - 69

13A = 78

A = 6

 

6 adult tix and 17 children tix

 

6 x 16 + 17 x 3 = 96+51 = 147 <--- yes, it checks

 

The answer is in bold above and is proven to be correct