Question

Fifty students are trying to raise at least $12,500 for a class trip. They have already raised $1,250. How much should each student raise, on average, in order to meet the goal? Write and solve the two step inequality for this problem.

Answer 1

50t + 1,250 >= 12,500

On average, each student must raise at least $225.

Explanation:

They are trying to raise "at least $12,500".

At least $12,500 means $12,500 or more.

The amount they raise must be greater than or equal to $12,500.

Each student must raise at least t.

There are 50 students, so combined, they will raise 50t.

They already have $1,250, so they will have a total of 50t + 1250.

The combined amount they raise must be greater than or equal to $12,500.

The equation is:

50t + 1,250 >= 12,500

Subtract 1250 from both sides.

50t >= 11,250

Divide both sides by 50:

t >= 225

On average, each student must raise at least $225.