Question

A student has received 56, 70, 61 and 46 on his first four college algebra exams this semester. He asked the instructor what grade he would need to make on the fifth exam to pass the course. What score will he need to earn to receive 70% or higher on the fifth exam? Set up an equation/inequality and show all work and find the solution.

Please help!

Answer 1

Let x be the mark he would attain at the fifth exam. Then,

$\frac{56+70+61+46+x}{5} \geq 70$

$\frac{273+x}{5} \geq 70$

273 + x ≥ 350

x ≥ 350 - 273

x ≥ 77

So, he should score 77 or more marks in his fifth exam.