Question

A musical charges $ 3.50 for children's tickets and $5.00 for adults tickets. Last night, twice as many adults attended the musical than children. If the tickets sales totaled $823.50. How many children attended the musical last night?

Answer 1

Answer: 61 children attended the musical last night.

Step-by-step explanation:

Let x represent the number of children that attended the musical last night.

Let y represent the number of adults that attended the musical last night.

The musical charges $3.50 for children's tickets and $5.00 for adults tickets. If the tickets sales totaled $823.50. It means that

3.5x + 5y = 823.5- - - - - - - - - - 1

Last night, twice as many adults attended the musical than children. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

3.5x + 5 × 2x = 823.5

3.5x + 10x = 823.5

13.5x = 823.5

x = 823.5/13.5

x = 61

y = 2x = 2 × 61

y = 122