Question

At the city museum, child admission is $5.30 and adult admission is $9.20. On Monday, 121 tickets were sold for a total sales of $836.30.

How many adult tickets were sold that day?

Answer 1

50 adult tickets were sold that day.

Explanation:

• Child ticket is $5.30
• Adult ticket is $9.20
• Total amount of ticket sold is 121, for $836.30

We will use "c" to represent child ticket and "a" to represent adult ticket

Using these info, we can make a system of equations:

`\left \{ {{9.2a + 5.3c = 836.3} \atop {a + c = 121}} \right.`

Solve the system of equations using substitution.

a + c = 121

c = 121 - a

9.2a + 5.3 (121 -a) = 836.3

9.2a + 641.3 - 5.3a = 836.3

3.9a = 195

a = 50

50 adult tickets were sold that day.