Question

A science class planned a field trip for which the total costs were $80. When four additional students decided to go on the trip, the cost per student was reduced by $1. How many students went on the trip?

Answer 1

Answer: 8 student

Explanation:

Answer 2

There were 8 student who went on a trip.

Explanation:

Let's call the original number of students "x". The total cost of the trip was $80, so the cost per student was $80/x.

When four more students decided to go, the new number of students became x + 4, and the cost per student was reduced by $1, to $80/x - $1.

We can set up an equation to solve for x:

$80/x = $80/(x + 4) - $1

Expanding the right side:

$80/x = $80/x + $80/4 - $1

Combining like terms:

$80/x = $80/4 + $80/x - $1

Solving for x:

$80/4 = $80/x - $1

$80/4 + $1 = $80/x

$20 + $1 = $80/x

$21 = $80/x

Finally, solving for x:

x = 80/$21 = 80/21 = 3.81 (rounded to nearest whole number)

So, there were 4 students on the original trip.

There were 4 students on the original trip and 4 more students joined, so in total, there were 4 + 4 = 8 students who went on the trip.