Respuesta :
[tex]\frac{3}{2}[/tex] part of length of the third towel is the length of the second towel
Solution:
Given that You have towels of 3 sizes
Length of the first towel = [tex]\frac{3}{4}[/tex] meter
The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.
Length of the first towel = [tex]\frac{3}{5} \times \text{ length of second towel }[/tex]
[tex]\frac{3}{4} = \frac{3}{5} \times \text{ length of second towel }\\\\\text{length of second towel }= \frac{5}{4}[/tex]
The length of the third towel makes up 5/12 of the lengths of the first 2.
[tex]\text{ length of the third towel }= \frac{5}{12} \times (\text{ length of first towel + length of second towel)}[/tex]
[tex]\text{ length of the third towel }= \frac{5}{12} \times (\frac{3}{4} + \frac{5}{4}) = \frac{5}{12} \times 2 = \frac{5}{6}[/tex]
To find: What part of the length of the third towel is the length of the second towel ?
Ratio of second to third towel length = [tex]\frac{\frac{5}{4}}{\frac{5}{6}}=\frac{5}{4} \times \frac{6}{5}=\frac{3}{2}[/tex]
Thus 3/2 part of length of the third towel is the length of the second towel
