Fabric width meters

Mrs. Smith bought 3.15 m of fabric 140 cm wide for a dress. How many meters of cloth will she need for the same 90 cm wide fabric dress? The result is rounded to whole meters.

Final Answer:

x =  5 m

Step-by-step explanation:

$$\begin{gathered} a=140\text{cm}\to \text{m}=140:100\text{m}=1.4\text{m} \\ b=3.15\text{m} \\ c=90\text{cm}\to \text{m}=90:100\text{m}=0.9\text{m} \\ {S}_1=S_2 \\ a\cdot b=c\cdot x \\ {x}_1=\frac{a\cdot b}{c}=\frac{1.4\cdot 3.15}{0.9}=\frac{49}{10}=4.9\text{m} \\ x=[x_1]=[4.9]=5\text{m} \end{gathered}$$

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