Mrs Lim is making a drink mix at home. She uses $250$ ml of lime juice, $0.6$ L of water, and $\dfrac{1}{4}$ L of sugar syrup. Express the ratio Lime juice : Water : Syrup in its SIMPLEST FORM.
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Worked Solution
Step 1: Convert every quantity to the SAME unit. Use millilitres.\n Lime juice = $250$ ml.\n Water = $0.6$ L = $0.6 \\times 1000 = 600$ ml.\n Sugar syrup = $\\dfrac{1}{4}$ L = $\\dfrac{1}{4} \\times 1000 = 250$ ml.\n
Step 2: Write the ratio Lime : Water : Syrup = $250 : 600 : 250$.\n
Step 3: Find the GCD of the three numbers. $\\gcd(250, 600, 250) = 50$ (since $250 = 50 \\times 5$ and $600 = 50 \\times 12$).\n
Step 4: Divide every term by $50$.\n $250 \\div 50 = 5$\n $600 \\div 50 = 12$\n $250 \\div 50 = 5$\n
Step 5: Simplest form = $5 : 12 : 5$.\nCheck: $5 + 12 + 5 = 22$ parts; each part = $50$ ml; total $= 22 \\times 50 = 1100$ ml = $250 + 600 + 250$. ✓
Answer: 5 : 12 : 5
Correct answer: 5 : 12 : 5
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