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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?

Ask by Guzman Ruiz. in Singapore
Jan 24,2025

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Answer

- **a)** Suhaila can make 4 bows. - **b)** She uses \(\frac{4}{5}\) meters of ribbon. - **c)** She has \(\frac{1}{10}\) meters of ribbon left.

Solution

Let's solve each part of the problem step by step. ### Given: - **Total ribbon**: \( \frac{9}{10} \) meters - **Ribbon used per bow**: \( \frac{1}{5} \) meters --- ### **a) How many bows can Suhaila make with the ribbon?** To find out how many complete bows Suhaila can make, divide the total ribbon by the ribbon used per bow. \[ \text{Number of bows} = \frac{\text{Total ribbon}}{\text{Ribbon per bow}} = \frac{\frac{9}{10}}{\frac{1}{5}} = \frac{9}{10} \times \frac{5}{1} = \frac{45}{10} = 4.5 \] Since Suhaila cannot make half a bow, she can make **4 complete bows**. --- ### **b) How many metres of ribbon does Suhaila use to make all bows?** Multiply the number of bows by the ribbon used per bow. \[ \text{Total ribbon used} = \text{Number of bows} \times \text{Ribbon per bow} = 4 \times \frac{1}{5} = \frac{4}{5} \text{ meters} \] So, Suhaila uses **\(\frac{4}{5}\) meters** of ribbon to make all bows. --- ### **c) How many metres of the ribbon will Suhaila have left?** Subtract the ribbon used for bows from the total ribbon. \[ \text{Ribbon left} = \text{Total ribbon} - \text{Total ribbon used} = \frac{9}{10} - \frac{4}{5} \] First, convert \(\frac{4}{5}\) to tenths to subtract: \[ \frac{4}{5} = \frac{8}{10} \] Now, subtract: \[ \frac{9}{10} - \frac{8}{10} = \frac{1}{10} \text{ meters} \] Suhaila will have **\(\frac{1}{10}\) meters** of ribbon left. --- ### **Summary:** - **a)** 4 bows - **b)** \(\frac{4}{5}\) meters of ribbon used - **c)** \(\frac{1}{10}\) meters of ribbon 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.

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