- Bertie spends ⅖ of his total winnings on a house, leaving ⅗ of his money.
- He then spends ¾ of the remaining ⅗ on a yacht. This is ¾ × ⅗ = ⁹⁄₂₀ of the original amount. The money left after buying the yacht is ⅗ - ⁹⁄₂₀ = ¹²⁄₂₀ - ⁹⁄₂₀ = ³⁄₂₀ of the original.
- Next, he spends ⅔ of the remaining ³⁄₂₀ on a space trip. That’s ⅔ × ³⁄₂₀ = ⁶⁄₆₀ = ¹⁄₁₀ of the original. The money left after the trip is ³⁄₂₀ - ¹⁄₁₀ = ³⁄₂₀ - ²⁄₂₀ = ¹⁄₂₀ of the original.
- The remaining ¹⁄₂₀ equals $50,000, which he gives to charity.
- Therefore, the total winnings are $50,000 × 20 = $1,000,000.
Parent Tip: Review the logic above to help your child master the concept of math problems.
