Question

The number of people who attended a concert on Friday was LaTeX: \frac{3}{4}3 4 the number of people who attended the same concert on Saturday. A total of 840 people attended the concert on those two days. How many people attended the concert on Saturday?

Answer 1

480 people attended the concert on Saturday

Explanation:

This question can be solved using a system of equations.

x is the number of people who attended the concert on Friday.

y is the number of people who attended the concert on Saturday.

The number of people who attended a concert on Friday was 3/4 of the number of people who attended the same concert on Saturday.

This means that:

`x=(3)/(4)y`

A total of 840 people attended the concert on those two days.

This means that x + y = 840.

Since x = (3/4)y

`(3)/(4)y+y=840`

Multiplying everything by 4.

3y + 4y = 3360

7y = 3360

y = 3360/7

y = 480

480 people attended the concert on Saturday