Answer:
[tex]\$15.60[/tex]
Step-by-step explanation:
Mr. Rand initially starts with 18 pounds of meat. After cutting steaks weighing pound 15 ounces, 3 and 1/8 pounds, and 4 and 1/2 pounds, he will have:
[tex]18-1.9375-3.125-4.5=8.4375[/tex] pounds of meat left (there are 16 ounces in a pound).
Since he sells patties that measure 9 ounces, convert 8.4375 pounds to ounces:
[tex]8.4375\text{ lbs}\cdot 16\text{ oz/lb}=135\text{ oz}[/tex]
Because each patty is 9 ounces, he can make [tex]\frac{135}{9}=15[/tex] patties. He sells 3 of them for $3.12, meaning the price per patty is [tex]\frac{\$ 3.12}{3}=\$1.04[/tex].
Therefore, he makes [tex]1.04\cdot 15=\boxed{\$15.60}[/tex]
