507 people use the public swimming pool , the daily price for children is 1.75 and the price for adults is 2.25 and the admission total was 971.75 how many children were at the public pool

Respuesta :

Answer: 338 children

Step-by-step explanation:

Assume the children are represented by x and the adults are y.

Relevant equations will be:

x + y = 507 people

1.75x + 2.25y = 971.75

y = 507 - x

1.75x + 2.25 * ( 507 - x) = 971.75

1.75x + ‭1,140.75‬ - 2.25x = 971.75

1.75x - 2.25x = 971.75 - ‭1,140.75‬

-0.5x = -169

x = -169/-0.5

x = 338 children

Adults = 507 - 338

= 169 adults