You are hosting a cookout for 24 people and are supplying the main dishes and several sides. You must take a trip to the grocery store in order to purchase all of the items you need.
You know that hotdogs are $1.50 per package and there are 8 hotdogs in each package. You also know that hamburger is $1.59 per pound and that you can purchase the hamburger in ¼ pound increments.
You estimate that ½ of the people will eat hotdogs and 1/2 will eat hamburgers.
Half of those eating hotdogs will eat 2 hotdogs; the remainder will eat one hotdog. You can make 4 hamburger patties from each pound of hamburger. Determine the cost for the meat.
12 people will eat dogs
6 of those will eat 2 dogs, making 18 dogs total.
that means you have to buy 3 packages of dogs, for $4.50
12 people eat burgers
Assuming only one burger each, that means 3 lbs burger, for $4.77
Add it up to get the cost of the meat.
To determine the cost of the meat for the cookout, we'll need to calculate the number of hotdogs and hamburgers needed and then multiply it by the cost per item.
First, let's calculate the number of hotdogs. Half of the 24 people (12 people) will eat hotdogs. Half of those 12 people (6 people) will eat 2 hotdogs, while the remaining 6 people will eat 1 hotdog. Therefore, we need (6 people * 2 hotdogs) + (6 people * 1 hotdog) = 12 + 6 = 18 hotdogs.
Since there are 8 hotdogs in each package and we need 18 hotdogs, we'll need to buy 18 / 8 = 2.25 packages of hotdogs. Since we can't buy a fraction of a package, we'll need to round up to 3 packages.
Next, let's calculate the number of hamburgers. Again, half of the 24 people (12 people) will eat hamburgers. Since we can make 4 patties from each pound of hamburger, we need (12 people * 1 hamburger) / 4 patties = 3 pounds of hamburger.
Now, let's calculate the cost for each type of meat. Each package of hotdogs costs $1.50, so 3 packages of hotdogs will cost 3 * $1.50 = $<<3*1.5=4.50>>4.50.
Each pound of hamburger costs $1.59, so 3 pounds of hamburger will cost 3 * $1.59 = $<<3*1.59=4.77>>4.77.
Therefore, the total cost for the meat will be $4.50 + $4.77 = $<<4.50+4.77=9.27>>9.27.