Answer: [tex]3\frac{15}{16}\text{ cups}[/tex]
Step-by-step explanation:
Given: To feed his plants, logan creates a mixture that requires 3/8 cup of plant food for every gallon of water.
i.e. For 1 gallon of water, the plant food requires = [tex]\frac{3}{8}\ cup[/tex]
Now, For [tex]10\frac{1}{2}[/tex] gallons of water, the plant food requires =[tex]10\frac{1}{2}\times\frac{3}{8}[/tex] cups.
[tex]=\frac{21}{2}\times\frac{3}{8}\\\\=\frac{63}{16}\\\\=3\frac{15}{16}\text{ cups}[/tex]
Hence, the total amount of plant food he needs= [tex]3\frac{15}{16}\text{ cups}[/tex]
