If 103 people attend a concert and tickets for adults cost $3 while tickets for children cost $2 and total receipts for the concert was $238, how many of each went to the concert?

Answer 1

Hi John,

You can solve this problem by creating 2 equations to represent the info and then solve them simultaneously.

Let's use the variable, a, to represent the NUMBER of adult tickets sold and the variable, c, to represent the NUMBER of children's tickets sold.

Since a total of 103 people attended, we can write an equation to show this total using the variables:

a + c = 103

Then we can write the following equation to show the cost :

3a + 2c = 238

Now solve these two equations using combination. Multiply the first equation by -3 to find the number of child tickets sold , followed by adding the 2 equations:

-3a - 3c = -309

3a + 2 c = 238

-1c = -71

c = 71

The number of child tickets was 71 tickets. The number of adult tickets sold will be 103 - 71 = 32 tickets