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.

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;

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

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

y=mx+b

step-by-step explanation:

m slope, b y-intercept