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?

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