A small home business creates muffins,bones,and cookies for dogs.In addition to other ingredients,each muffin requires 2 units of beef,3 units of chicken,and 2 units of liver.Each bone requires 1 unit of beef,1 unit of chicken,and 1 unit of liver.Each cookie requires 2 units of beef,1 unit of chicken,and 1.5 units of liver.Find the numbers of muffins,bones,and cookies that the company can create with the given amounts of ingredients.
800 units of beef
750 units of chicken
725 units of liver

A)150 muffins,300 bones,150 cookies
B)150 muffins,300 bones,100 cookies
C)300 muffins,100 bones,150 cookies
D)100 muffins,300 bones,150 cookies
E)100 muffins,100 bones,750 cookies

Question

A small home business creates muffins,bones,and cookies for dogs.In addition to other ingredients,each muffin requires 2 units of beef,3 units of chicken,and 2 units of liver.Each bone requires 1 unit of beef,1 unit of chicken,and 1 unit of liver.Each cookie requires 2 units of beef,1 unit of chicken,and 1.5 units of liver.Find the numbers of muffins,bones,and cookies that the company can create with the given amounts of ingredients. ​
800 units of beef
750 units of chicken
725 units of liver
​
A)150 muffins,300 bones,150 cookies
B)150 muffins,300 bones,100 cookies
C)300 muffins,100 bones,150 cookies
D)100 muffins,300 bones,150 cookies
E)100 muffins,100 bones,750 cookies

Quizplus · Accepted Answer

To solve this, we set up equations based on the given ingredient requirements and total available ingredients. For beef: $2m + b + 2c = 800$, for chicken: $3m + b + c = 750$, and for liver: $2m + b + 1.5c = 725$, where $m$, $b$, and $c$ represent the number of muffins, bones, and cookies respectively. Solving these equations, we find that the combination that fits the available ingredients is 100 muffins, 300 bones, and 150 cookies.

A Small Home Business Creates Muffins,bones,and Cookies for Dogs