A barber charges ₹(a + b) for each hair cut. If he collects ₹(a $^{2}$ + 3ab + 2b $^{2}$ ) at the end of the day, how many hair cuts did he do?

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Solution

Total collection at the end of the day = ₹(a $^{2}$ + 3ab + 2b $^{2}$ )
Amount that the barber charges for each hair cut = ₹(a + b)
Number of hair cuts given by him = (a $^{2}$ + 3ab + 2b $^{2}$ ) $\div$ (a + b)
= (a + b)(a + 2b) $\div$ (a + b)
= (a + 2b)

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A barber charges ₹(a + b) for each hair cut. If he collects ₹(a2 + 3ab + 2b2) at the end of the day, how many hair cuts did he do?

Total collection at the end of the day = ₹(a2 + 3ab + 2b2) Amount that the barber charges for each hair cut = ₹(a + b) Number of hair cuts given by him = (a2 + 3ab + 2b2) ÷ (a + b) = (a + b)(a + 2b) ÷ (a + b) = (a + 2b)

A barber charges ₹(a + b) for each hair cut. If he collects ₹(a $^{2}$ + 3ab + 2b $^{2}$ ) at the end of the day, how many hair cuts did he do?

Total collection at the end of the day = ₹(a $^{2}$ + 3ab + 2b $^{2}$ )
Amount that the barber charges for each hair cut = ₹(a + b)
Number of hair cuts given by him = (a $^{2}$ + 3ab + 2b $^{2}$ ) $\div$ (a + b)
= (a + b)(a + 2b) $\div$ (a + b)
= (a + 2b)