Answer:
He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.
Step-by-step explanation:
Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.
We know that, 1 yard = 36 inches and 1 foot = 12 inches.
So, 1 yard, 2 feet and 4 inches [tex]=[(1*36)+(2*12)+4]inches = 64[/tex] inches.
That means, he uses 64 inches of twine to wrap each carton.
He has to pack 29 cartons today. So, the total length of the twine he will need [tex]=(64*29) inches= 1856[/tex] inches.
Now....
1856 inches
[tex]=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.[/tex]
Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.
