Question 461275: I need help setting this world problem in the sytstem of linear equations and solving it using matrices.
Problem:
A custard recipe calls for 3 eggs and 2.5 cups of milk. A vanilla pudding recipe calls for 2 eggs and 2 cups of milk. A bread pudding recipe calls for 2 eggs, 2 cups of milk and 8 slices of bread.
A stocked kitchen contains 18 eggs, 1 gallon of milk, and 24 slices of bread. How many batches of each recipe should a chef make in order to use up all of the ingredients?
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! custard: 3m+2.5n
vanilla pudding: 2m+2n
bread pudding: 2m+2n+8p
To use up all the bread: 6m+6n+24p
Totals:11m+10.5n+24p
2 batches of custard and 3 of vanilla pudding: 12m+11n
+ bread pudding:6m+6n+24p=18m+17n+24p
Total Kitchen supplies:18m+16n+24p
If you make two batches of custard, 3 batches of vanilla pudding, and 3 batches of bread pudding, you have enough supplies to make them all, except for one cup of milk..
|
|
|
