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Tish scarf is 17.75 inches long and knits 2 3/8 per minute. Emma scarf is 4 inches knits 3 3/4 inches per minute. After how many minutes wil
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Answers ( )
Answer:
t = 10 minutes
Emma’s scarf will be longer than tish scarf after 10 minutes
Explanation:
Given;
The length of tish scarf after t minutes can be written as;
L1 = 17.75 + 2 3/8 ×t
L1 = 17.75 + 2.375t
The length of emma scarf after t minutes can be written as;
L2 = 4 + 3 3/4 × t
L2 = 4 + 3.75t
For emma scarf to be longer than tish;
L2 >/= L1
At L2 = L1
4+3.75t = 17.75 + 2.375t
Solving for t
3.75t – 2.375t = 17.75 – 4
1.375t = 13.75
t = 13.75/1.375
t = 10 minutes
Emma’s scarf will be longer than tish scarf after 10 minutes