Question

Problem 81

Mr. and Mrs. Rick O'Shay and their
three children paid $105.00 for tickets to an
amusement park. If a single child's ticket was
one-half of an adult's ticket, how much did the
tickets cost?

Answer 1

it hasn't been specified which ticket the question's is asking but I'm guessing the price of the adult ones so $30.00

altogether that's two adults and 3 children who all paid a total of $105.00

let's simplify that to algebra

children tickets = c adults tickets = a

3c + 2a = $105.00

we know that 1c is 0.5a because each child ticket is half of an adults one as stated in the question

so in terms of (adults) a: half of 3 meaning 3×0.5= $1.5 meaning 1.5a

so now 3c = 1.5a

so we can substitute and have like terms

meaning 1.5a + 2a= $105

3.5a =$105.00

divide by 3.5 on both sides to get a by itself thus the value of a:

a = $30

so each adult tickets cost $30