Ahmad and Ravi each have some savings. The ratio of Ahmad's savings to Ravi's savings is 5 : 3. Ahmad's savings are $75. Ahmad then spends $15 on a NTUC FairPrice grocery run, while Ravi earns $9 from selling old books at a school book fair. What is the new ratio of Ahmad's savings to Ravi's savings?
Show Worked Solution
Worked Solution
Step 1: Find Ravi's original savings using the given ratio.
Ahmad : Ravi = 5 : 3 and Ahmad = $75.
1 unit = $75 ÷ 5 = $15
Ravi = 3 units = $15 × 3 = $45
Step 2: Apply the changes.
Ahmad spends $15: $75 − $15 = $60
Ravi earns $9: $45 + $9 = $54
Step 3: Write and simplify the new ratio.
Ahmad : Ravi = 60 : 54
HCF of 60 and 54 = 6
60 ÷ 6 : 54 ÷ 6 = 10 : 9
The new ratio of Ahmad's savings to Ravi's savings is 10 : 9.
Correct answer: 10 : 9
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