WASHINGTON STATE MATHEMATICS COUNCIL 1999 MIDDLE SCHOOL MATH OLYMPIAD SIXTH GRADE SESSION I : THE MONKEY DIET PROBLEM |
6 |
Monkeys in a zoo each need exactly 4000 calories a day to stay healthy. Also to stay healthy, they need to get:
Their 3 main foods are bananas, eggs, and coconuts. Here is a table showing the cost of these foods, the calories, and the sources of the calories.
FOOD |
Cost Each |
Calories Each |
Calories from Fat |
Calories from Protein |
Calories from Carbohydrates |
Bananas |
$0.15 |
100 |
10% |
0% |
90% |
Eggs |
$0.10 |
100 |
20% |
80% |
0% |
Coconuts |
$2.00 |
1000 |
30% |
20% |
50% |
Your task is to plan the daily diet for your monkeys. Each monkey gets a whole number of each item per day. (For example, you cannot give a monkey half of a coconut.) Furthermore, the zoo director is interested in keeping costs low, so you should check more than one diet to find out which one has the lowest cost.
HERE ARE YOUR INSTRUCTIONS: