Question

Jan has a curtain that is 1 ¾ yard long. She wants to increase the length of the curtain by ⅓ of a yard. Jan has ⅞ of a yard of lace. She plans to cut a piece from the lace and sew it onto the bottom of the curtain. How long will the curtain be after Jan adds the lace? Show your work.

Answer 1

Answer:

The length of the curtain, after adding the new length is 2 ¹/₂₄ yard long.

Step-by-step explanation:

Given;

initial length of the curtain, L₀ = 1 ¾ yard = ⁷/₄ yard

length of the lace Jan will cut from, L = ⅞  yard

fraction to be cut from the yard, x = ⅓

New length to be added is given by;

$L_{new} = \frac{1}{3} *\frac{7}{8} = \frac{7}{24} \ yard$

Total length of the curtain, after adding the new length is given by;

$L_{total} = L_o + L_{new}\\\\L_{total} = \frac{7}{4} + \frac{7}{24} = \frac{42+ 7}{24} = \frac{49}{24} = 2\frac{1}{24}\ yard \ long$

Therefore, the length of the curtain, after adding the new length is 2 ¹/₂₄ yard long.