There were 429 people at a play. admission was $1 for adults and 75 cents for children. the receipts were $372.50. how many adults and how many children attended the play?

X = adult tickets

Y = Children tickets

You need two equations one is number of people

Second formula is the money

X+y = 429

1x +.75Y = 372.50

You can use the substitution or elimination method

I will use substitution make X = 429-y using the 1st equation then put it in the 2nd

429-1y+.75y = 372.50

429 -.25y = 372.50

-429. - 429

-.25y=. - 56.5

Divide both side by -.25

y = 226

So 429-226 = 203 for X

203 adult tickets and 226 children tickets