Algebra or math

Question

On a certain hot​ summer's day,

445

people used the public swimming pool. The daily prices are

$1.75

for children and

$2.50

for adults. The receipts for admission totaled

$885.25.  

How many children and how many adults swam at the public pool that​ day?

Answer 1

A + C = 445

2.5A + 1.75C = 885.25

1.75A + 1.75C = 445(1.75) = 778.75 subtract to get

0.75A = 885.25-778.75 = 106.5

A =106.5/0.75 = 142 adult tickets

C = 445-142 = 303 child tickets sold

2.5(142) + 1.75(303) = 355 + 530.25 = 885.25