Question

At the beginning of the school year, Liya's goal was to earn an A on
at least 85% of her 60 quizzes for the year. She earned an A on 35 of the first 40
quizzes. If she is to achieve her goal, on at most how many of the remaining
quizzes can she earn a grade lower than an A?

A: 1
B: 2
C: 3
D: 4
E: 5

Answer 1

Answer:

4

Step-by-step explanation:

If 15% of quizzes don't have to be A's, that means that its 9 quizes that can be lower than an A. She already lost 5 which means she has four left.

Answer 2

Answer:

D; 4

Step-by-step explanation:

Step 1:

Let us figure out exactly how many As Liya has to earn for the year. We must find 85% of 60:

$85 \%\ of\ 60=\\\frac{85}{100}*\frac{60}{1}=\\\frac{85}{5} *\frac{3}{1} =\\17*3=\\51$

Liya must earn 51 As this year to reach her goal. This also means that she can earn 9 grades lower than an A to still reach her goal ($60-51=9$).

Step 2:

So far, Liya has earned 35 As out of 40 tests in total. This means that so far, Liya has earned 5 test grade lower than an A:

$40-35=5$

In total, Liya can only have 9 grades lower than an A. Therefore:

$9-5=\fbox{4}$

Liya can only earn $\fbox{4}$ grades lower than an A in the remaining quizzes.

I hope this helps! Let me know if you have any questions :)