Fifty students are trying to at least raise $12500 for a class trip. They have already raised $1250. How much should each student raise, on average, in order to meet the goal? Write and solve the two-step inequality for this problem
Let x be the average amount that each person raises.
Since there are 50 students, the total amount that they raise will be the average amount for each times the number of students. This becomes: 50x
Take this amount and add to it the amount that they have already earned: 50x + 1250.
Since you want to raise at least 12500, you have this equation: 50x + 1250 ≥ 12500
50x + 1250 ≥ 12500
Subtract 1250 from both sides:
---> 50x ≥ 11250
Divide both sides by 50:
---> x ≥ 225
So, the average amount left to earn is at least $225.00.
Let x be the average amount that each person raises.
Since there are 50 students, the total amount that they raise will be the average amount for each times the number of students. This becomes: 50x
Take this amount and add to it the amount that they have already earned: 50x + 1250.
Since you want to raise at least 12500, you have this equation: 50x + 1250 ≥ 12500
50x + 1250 ≥ 12500
Subtract 1250 from both sides:
---> 50x ≥ 11250
Divide both sides by 50:
---> x ≥ 225
So, the average amount left to earn is at least $225.00.