Question

Olivia completed 85% of the Math questions. She still has 6 questions left. How many questions were there in total?

Answer 1

. Total questions:

40

Explanation:

85% = 85/100 = 0.85

Then:

0.85a + 6 = a

a = total questions

6 = a - 0.85 a

6 = 0.15a

6/0.15 = a

40 = a

Check:

0.85*40. + 6 = 40

34 + 6 = 40

Answer 2

40 questions

Explanation:

Let x be the total number of exam questions. We are told Olivia completed 85% of the questions. That means (100% - 85%) or 15% of the questions are remaining.

We told there are 6 questions left, which we know from above is equal to 15% of the total:

(15%)x = 6

(0.15)x = 6

x = 6/(0.15)

x = 40 questions