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 number of muffins, bones, and cookies that the company can create with the given amounts of ingredients. 1090 units of beef 1050 units of chicken 985 units of liver muffins bones cookies
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 number of muffins, bones, and cookies that the company can create with the given amounts of ingredients.
1050 units of chicken
985 units of liver
| muffins | |
| bones | |
| cookies |
Explanation
Here a small business creates muffins bones an cookies for dogs in addition to other ingredients each muffins requires 2 units of beef , 3 unit of chicken and 2 unit of liver and each bones required 1 unit of beef, 1 unit of chicken and 1 unit 0f liver. Each cookies required 2 unit of beef , 1unit of chicken and 1.5 unit of liver .
To find - we have to find the number of muffins , bones and cookies that company can create with the given amount of ingredients
we have 1090 units of beef
1050 units of chicken and
985 units of liver
Let us suppose The company creates the number of muffins = a
and the number of bones = b
and the number of cookies = c
Now from the data given above we have the equations
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