Question

there are 8 students on the school chess team. They needed to raise at least $760 for a feild trip. Their advisor says they still need to raise 85% of the funds, and she wants each of them to raise and equal share of them money still needed. Diego wrote and solved the inequality 8m+0.85(760)>=760 to find the leat amount of money, m, each student on the chess tream 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

$8 m \geq \frac{85}{100}\times 760\\\\ 8 m\geq 646\\\\ m\geq \frac{646}{8}\\\\ m\geq 80.75$

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