Admission fee at a mall is 1.50 for children and 4.00 for adults. One day 2200 people entered the mall and $5,050 was collected. How many children and how many adults attended?

Respuesta :

Answer: 1500 children and 700 adults attended.

Step-by-step explanation:

Let x represent the number of children that attended the mall that day.

Let y represent the number of adult that attended the mall that day.

One day 2200 people entered the mall. This means that

x + y = 2200

Admission fee at a mall is 1.50 for children and 4.00 for adults. The total amount that was collected on that day was $5,050. This means that

1.5x + 4y = 5050 - - - - - - - - - - - - -1

Substituting x = 2200 - y into equation 1, it becomes

1.5(2200 - y) + 4y = 5050

3300 - 1.5y + 4y = 5050

- 1.5y + 4y = 5050 - 3300

2.5y = 1750

y = 1750/2.5

y = 700

x = 2200 - y = 2200 - 700

x = 1500