Question

There are 8 students on the school chess team. They need to raise at least $760 for a field trip. Their advisor says they still need to raise 85% of the funds, and she wants each of them to raise an equal share of the money still needed.

Diego wrote solved the inequality 8m+0.85(760)≥760to find the least amount of money, m, each student on the chess team still needs to raise. He says the solution is m≥$14.25.

Describe and correct Diego's error.

Answer 1

Answer:

Number of students in the School= 8

Least money needed for field trip = $ 760

As, 85% of funds is still needed, and each of 8 candidates is allocating equal amount of money.

So, writing the statement in terms of equation,that Diego wrote

→8 m + 0.85 * 760 ≥ 760

→ 8 m + 646 ≥ 760

→ 8 m≥ 760 - 646

→8 m≥114

→Dividing both side by , 8

→→m≥14.25

which is the amount , that Diego and each of his 8 friends raised,before their Advisor told him about the situation.

Let , each of 8   students is raising m, amount of money when their advisor told him about the situation.  

Now,the correct inequality should be

Least amount of money that total of 8  of students need to raise money after his advisor told him about the situation ≥ $ 80.75