Question

At 2:00 pm there are 350 freshmen and 200 sophomores at a school carnival. After 2:00 pm 20 freshman leave every hour and 35 sophomores arrive every half hour.

What is the ratio of freshman to sophomores at 4:00 pm in fraction form

Answer 1

f(4)=350−20(4)200+35(4)=270340=2734.

Explanation:

Let x be the number of half-hour intervals since 2:00 p.m.

The number of freshmen can be modeled by P(x)=350−20x and the number of sophomores can be modeled by Q(x)=200+35x.

There are 4 half-minute intervals in two hours, so f(4)=350−20(4)200+35(4)=270340=

27/34.

Answer 2

160:340

Explanation:

The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:

`=20\cdot{2}=40`

and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:

`=35\cdot{4}=140`

The amount of freshman at 4:00pm:

`200-40=160`

and the amount of sophomores:

`200+140=340`

the ratio is 160:340