Standard Mathematics Primary 5 Fractions

Stan spent 1/3 of his money on a story book and 2/5 of the REMAINDER on a pen. He had $36 left. How much money did Stan have at first?

A $90
B $54
C $108
D $60
Show Worked Solution

Worked Solution

Step 1: Let the total at first be T. After the book: 2/3 of T is left. Step 2: The pen takes 2/5 of THIS remainder, leaving 3/5 of the remainder: (2/3 T) × (3/5) = 2/5 T. Step 3: 2/5 of T = $36. Step 4: 1/5 of T = $36 ÷ 2 = $18, so T = 5 × $18 = $90. Answer: $90

Correct answer: $90

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