Mei Ling's pocket-money savings are $\dfrac{5}{8}$ of her brother Ahmad's pocket-money savings. Together they have saved $\$208$. How much has AHMAD saved?
Show Worked Solution
Worked Solution
Step 1: Convert the fraction to a ratio. "Mei Ling = $\\dfrac{5}{8}$ of Ahmad" means Mei Ling : Ahmad = $5 : 8$.\n
Step 2: Use units. Let Mei Ling = $5$ units and Ahmad = $8$ units.\n
Step 3: Total. $5 + 8 = 13$ units = $\\$208$.\n
Step 4: Find $1$ unit. $1$ unit = $208 \\div 13 = \\$16$.\n
Step 5: Find Ahmad's amount. Ahmad = $8$ units = $8 \\times 16 = \\$128$.\nCheck: Mei Ling = $5 \\times 16 = \\$80$; total = $80 + 128 = \\$208$ ✓; ratio $80 : 128 = 5 : 8$ ✓.
Answer: $128
Correct answer: $128
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