IBEasyAlgebra7–9

Two Ticket Prices from Two Purchases

Dois Preços de Bilhete a Partir de Duas Compras

At a cinema, $2$ adult tickets and $3$ child tickets cost $31$ euros. On another day, $1$ adult ticket and $4$ child tickets cost $28$ euros. Find the price of an adult ticket and the price of a child ticket.

Both purchases mix the same two unknown prices, so name them and write one equation for each purchase. The second equation contains a single adult ticket, which makes it the easy one to rearrange before substituting.

Solution

Step 1 of 11

1.Let $a$ be the adult price and $c$ the child price: