Ahmad scored 45 marks and Siti scored 75 marks in a Mathematics examination. Their teacher awarded each student 15 bonus marks for excellent effort. What is the new ratio of Ahmad's total score to Siti's total score, expressed in its simplest form?
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Worked Solution
Step 1: Find Ahmad's new score.
45 + 15 = 60 marks
Step 2: Find Siti's new score.
75 + 15 = 90 marks
Step 3: Write the ratio of Ahmad's score to Siti's score.
60 : 90
Step 4: Find the greatest common factor (GCF) of 60 and 90.
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCF = 30
Step 5: Simplify the ratio.
60 ÷ 30 = 2
90 ÷ 30 = 3
The new ratio of Ahmad's score to Siti's score is 2 : 3.
Correct answer: 2 : 3
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