Word problem using a linear equation

Question

At the movie theatre, child admission is
$5.50
and adult admission is
$8.70
. On Tuesday,
134
tickets were sold for a total sales of
$999.40
. How many child tickets were sold that day?

Answer 1

Sophie, translating words to algebra is often a challenge. Generally, the way to solve these is:(1) identify the quantities of interest (2) write down the sentences as formulas, then (3) solve those equations that you have already learned.

The quantities in this case:

let c be the number of child admissions

let a be the number of adult admissions

the formulas:

total number of admissions

c + a=134

total cost of admissions

C*5.50 + a*8.70 = 999.40

 

Now you have two equations in 2 unknowns. i expect you know how to solve them.