Question

a circus sold a total of 98 adult and senior tickets to a special lion traning show adult tickets are sold for $12 each and senoir tickets sold for $8 bringing in a total of $1072 how many adult tickets were sold

Answer 1

Correct answer: adult tickets x = 72

Explanation:

Given:

x = ? number of the adult tickets

y = ? number of the senior tickets

12$ adult ticket price

8$ senior ticket price

We will solve this problem using a system of two equations with two variables

x + y = 98 we will multiply whole equation with number - 2 and get:

- 2 x - 2 y = - 196

12 x + 8 y = 1072 we will divide the whole equation by the number 4 and get:

3 x + 2 y = 268

- 2 x - 2 y = - 196

we will now add the first equation to the second and get:

3 x - 2 x = 268 - 196

x = 72

x + y = 98 ⇒ 72 + y = 98 ⇒ y = 98 - 72 = 26

y = 26

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