Answer:
The cost of 10 cm and 70 cm are £0.55 and £3.85 respectively.
Step-by-step explanation:
Material for a dress costs £5.50 per meter.
We know that, 1 meter = 100 cm.
Suppose, the cost of 10 cm material is [tex]x[/tex] and the cost of 70 cm material is [tex]y[/tex]
Now, according to the ratio of "cost" to the "length of material" , we will get.......
[tex]\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55[/tex]
and
[tex]\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85[/tex]
So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85