Answer :
Each home will receive approximately 12.7083 pounds of mulch when 122(5)/(8) pounds of mulch are distributed equally among six homes.
To find out how much mulch each home will receive, you can divide the total amount of mulch by the number of homes. In this case, the landscaper has 122(5)/(8) pounds of mulch and wants to distribute it equally among six homes.
The calculation is as follows:
[tex]\[ \text{Mulch per home} = \frac{\text{Total mulch}}{\text{Number of homes}} \][/tex]
[tex]\[ \text{Mulch per home} = \frac{122(5)/(8)}{6} \][/tex]
[tex]\[ \text{Total mulch} = \frac{610}{8} \][/tex]
[tex]\[ \text{Total mulch} = 76.25 \][/tex]
To simplify the calculation, divide the total mulch by the number of homes:
[tex]\[ \text{Mulch per home} = \frac{\text{Total mulch}}{6} \][/tex]
[tex]\[ \text{Mulch per home} = \frac{76.25}{6} \][/tex]
[tex]\[ \text{Mulch per home} = 12.7083 \][/tex]
Rounding to an appropriate precision, each home will receive approximately 12.7083 pounds of mulch.
