Question

In a high school stadium there are 1575 seats. There are two and a half times as many seats in the home section as there are in the visitor section. Which system of equations could be used to determine the number of seats in the home section, h, and the number of seats in the visitor section, v, in the stadium?

Answer 1

h = 1,125

v = 450

Explanation:

Total number of seats = 1575

h = number of seats in the home section

v = number of seats in the visitor section

There are two and a half times as many seats in the home section as there are in the visitor section.

h = 2 1/2 * v

h = 2 1/2v

Total = h + v

1575 = 2 1/2v + v

1575 = 3 1/2v

1575 = 7/2v

v = 1575 ÷ 7/2

= 1575 × 2/7

= (1575*2) / 7

= 3150 / 7

= 450

v = 450

h = 2 1/2v

= 5/2*450

= 2250/2

= 1,125

h = 1,125