Suhaila has \( \frac{9}{10} \mathrm{~m} \) of ribbon. She uses only \( \frac{1}{5} \mathrm{~m} \) of ribbon to make a bow. a) How many bows can Suhaila make with the ribbon? b) How many metres of ribbon does Suhaila use to make all bows? c) How many metres of the ribbon will Suhaila have left?
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The Deep Dive
To find out how many bows Suhaila can make, we first need to divide the total length of ribbon she has by the amount of ribbon used for one bow. a) Suhaila has \( \frac{9}{10} \mathrm{~m} \) of ribbon and uses \( \frac{1}{5} \mathrm{~m} \) for one bow. To find the number of bows, we calculate: \[ \text{Number of bows} = \frac{\frac{9}{10}}{\frac{1}{5}} = \frac{9}{10} \times \frac{5}{1} = \frac{45}{10} = 4.5 \] Since Suhaila can only make whole bows, she can make **4 bows**. b) To find out how much ribbon she uses for all bows: \[ \text{Total ribbon used} = 4 \text{ bows} \times \frac{1}{5} \mathrm{~m/bow} = \frac{4}{5} \mathrm{~m} \] c) To calculate the leftover ribbon: \[ \text{Remaining ribbon} = \frac{9}{10} \mathrm{~m} - \frac{4}{5} \mathrm{~m} = \frac{9}{10} \mathrm{~m} - \frac{8}{10} \mathrm{~m} = \frac{1}{10} \mathrm{~m} \] In summary: - a) Suhaila can make **4 bows**. - b) She uses **\( \frac{4}{5} \mathrm{~m} \)** of ribbon. - c) She will have **\( \frac{1}{10} \mathrm{~m} \)** of ribbon left.