Question

From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?

Answer 1

I answered this with another person

Answer 2

`\$15.60`

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:

`18-1.9375-3.125-4.5=8.4375` 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:

`8.4375\text{ lbs}\cdot 16\text{ oz/lb}=135\text{ oz}`

Because each patty is 9 ounces, he can make
`(135)/(9)=15` patties. He sells 3 of them for $3.12, meaning the price per patty is
`(\$ 3.12)/(3)=\$1.04`.

Therefore, he makes
`1.04\cdot 15=\boxed{\$15.60}`