Subjects algebra

Pocket Money Percentages 49Fe48

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1. **State the problem:** Jack receives 6.20 pounds pocket money weekly. We need to calculate various percentages of this amount and determine how much he spends and saves. 2. **Formula for percentage:** To find $x\%$ of an amount $A$, use the formula: $$\text{Percentage amount} = \frac{x}{100} \times A$$ 3. **Calculate 10% of 6.20 pounds:** $$10\% \text{ of } 6.20 = \frac{10}{100} \times 6.20 = 0.10 \times 6.20 = 0.62 \text{ pounds}$$ Since 1 pound = 100 pence, 0.62 pounds = 62 pence. 4. **Calculate 5% of 6.20 pounds:** $$5\% \text{ of } 6.20 = \frac{5}{100} \times 6.20 = 0.05 \times 6.20 = 0.31 \text{ pounds}$$ 0.31 pounds = 31 pence. 5. **Calculate 20% of 6.20 pounds:** $$20\% \text{ of } 6.20 = \frac{20}{100} \times 6.20 = 0.20 \times 6.20 = 1.24 \text{ pounds}$$ 6. **Calculate amount spent on sweets (15%):** $$15\% \text{ of } 6.20 = \frac{15}{100} \times 6.20 = 0.15 \times 6.20 = 0.93 \text{ pounds}$$ 0.93 pounds = 93 pence. 7. **Calculate amount spent on magazines (35%):** $$35\% \text{ of } 6.20 = \frac{35}{100} \times 6.20 = 0.35 \times 6.20 = 2.17 \text{ pounds}$$ 8. **Calculate savings (remaining percentage):** Total spent = 15% + 35% = 50% Savings = 100% - 50% = 50% $$50\% \text{ of } 6.20 = \frac{50}{100} \times 6.20 = 0.50 \times 6.20 = 3.10 \text{ pounds}$$ **Final answers:** - 10% of 6.20 = 62 pence - 5% of 6.20 = 31 pence - 20% of 6.20 = 1.24 pounds - Sweets = 93 pence - Magazines = 2.17 pounds - Savings = 3.10 pounds