Answer:
1063.06 inches of fabric was used on headband and wristband for each player.
Step-by-step explanation:
Given:
Lane is making accessories for the soccer team.
He uses 694.33 inches of fabric on headbands for 46 players and 3 coaches.
He also uses 411.24 inches of fabric on wristbands for just the players.
Now, to find the quantity of fabric used on a headband and wristband for each player.
Total inches of fabric used for headbands = 694.33 inches.
Total number of persons for headbands = [tex]46+3=49.[/tex]
Now, to get the quantity of fabric used on a headband for 46 players by using unitary method:
Fabric for 49 persons headbands = 694.33 inches.
Fabric for 1 person headband = [tex]\frac{694.33}{49}[/tex] inches.
Fabric for 46 persons headbands = [tex]\frac{694.33}{49}\times 46[/tex]
[tex]=14.17\times 46\\\\=651.82\ inches.[/tex]
Fabric for 46 players headbands = 651.82 inches.
As given,
Fabric on wristbands for just the players = 411.24 inches.
Now, to get the total fabric used on headband and wristband for each player by adding fabric for 46 players headbands and fabric on wristbands for just the players:
[tex]651.82+411.24\\\\=1063.06\ inches.[/tex]
Therefore, 1063.06 inches of fabric was used on headband and wristband for each player.