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In March, William saved of his pocket money and spent the rest. In April, he saved less and his spending increased by . Given that he had the same amount of pocket money each month, how much was William's pocket money?
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Q. In March, William saved of his pocket money and spent the rest. In April, he saved less and his spending increased by . Given that he had the same amount of pocket money each month, how much was William's pocket money?
- March Savings: In March, William saved . This is the amount he didn't spend.
- April Savings: In April, he saved less than in March. So, he saved of what he saved in March.Calculation: of = .
- April Spending Increase: His spending in April increased by compared to March. If is his spending in March, then his spending in April is .
- Pocket Money Calculation: Since his pocket money is the same each month, let's call it . In March, he saved , so he spent .
- Equation Setup: In April, he saved , so he spent . But this amount is more than what he spent in March.Calculation: .
- Equation Solution: Now we solve the equation for .Subtract from both sides: Add to both sides: Divide both sides by :
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