In a test,

Section A has 80 marks

Section B has 120 marks

Riya scores

55% in Section A

70% in Section B.

To pass, Riya needs to score 65% of the total marks.

Does she pass?

You must show your working.

Riya fails in the exam by 2 marks.

Step-by-step explanation:

Step 1: Find the total marks required to pass.

Total marks in Section A = 80 marks

Total marks in Section B = 120 marks

Total marks in the test = 120 + 80 = 200 marks

Percentage required to pass = 65%

⇒ Required marks to pass = 65% of 200 = 65/100 * 200 = 130 marks

Step 2: Find marks scored in Section A and Section B.

Marks scored in Section A = 55% = 55% of 80 = 55/100 * 80 = 44 marks

Marks scored in Section B = 70% = 70% of 120 = 70/100 * 120 = 84 marks

Step 3: Find total marks scored.

Total marks scored = 44 + 84 = 128 marks

128 < 130 ⇒ Riya fails in the test.