Question

To sew a garment, a seamstress uses 5.7 centimeters of thread for every 7.6 centimeters of fabric.

Answer 1

Answer:

Part a) $5.6\ cm$ of fabric

Part b) $15.9\ cm$ of thread

Step-by-step explanation:

we know that

A seamstress uses $5.7$ centimeters of thread for every $7.6$centimeters of fabric

Part a)

by proportion

Find how much fabric is involved if the seamstress uses $4.2$ centimeters of thread

$\frac{7.6}{5.7}\frac{cm\ fabric}{cm\ thread} =\frac{x}{4.2}\frac{cm\ fabric}{cm\ thread} \\ \\x=4.2*7.6/5.7\\ \\x=5.6\ cm\ fabric$

Part b)

by proportion

Find how many centimeters of thread is needed if the seamstress is working with $21.2$ centimeters of fabric

$\frac{7.6}{5.7}\frac{cm\ fabric}{cm\ thread} =\frac{21.2}{x}\frac{cm\ fabric}{cm\ thread} \\ \\x=5.7*21.2/7.6\\ \\x=15.9\ cm\ thread$