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grades 7-8
 

  

Cow Cash
 

 

It costs $38,686.97 to care for the cows for two weeks.

  1. Determine the number of cows and calves.
    • 7 daughters × 7 plows for each daughter = 49 plows altogether
    • 7 mother cows per plow × 49 plows = 343 mother cows
    • 7 calves per mother cow × 343 mother cows = 2,401 calves
  2. Determine the number of types of cows and calves.
    • The nursing mother cows = two-sevenths × 343 = 98.
    • The mother cows with weaned calves = five-sevenths x 343 = 245.
    • Five-sevenths of the calves are weaned and do need solid food: five-sevenths × 2,401 = 1,715 weaned calves.
    • Two-sevenths of the calves are still nursing and don’t need solid food: two-sevenths × 2,401 = 686 nursing calves.
  3. Determine the amount of food each type of cow or calf requires.
    • Each nursing mother needs 8 ounces of food per day; the total number of ounces of food per day for all nursing cows is: 8 × 98 = 784 oz per day.
    • Each mother with weaned calves needs 6 ounces of food per day; the total number of ounces of food per day for all mother cows with weaned calves is: 6 × 245 = 1,470 oz of food per day.
    • Weaned calves eat 2 ounces of food per day: 1,715 × 2 = 3,430 oz of food per day.
  4. Determine the amount of food the entire herd needs.

    The whole herd of cows needs:

    784
    1,470
    + 3,430

    5,684 oz of food per day ÷ 16 oz per lb = 355.25 lb of cow food per day
  5. Determine how much money the food will cost.
    • There are 14 days in two weeks. Multiply 355.25 lb by 14 days to find the number of pounds of food needed for two weeks, 4,973.5 lb
    • Since the food costs $1.02 per pound, multiply 4,973.5 lb by $1.02 to find the total amount needed for food, $5.072.97.
  6. Determine how much the vaccinations will cost.
    • All 2,401 calves need vaccinations. Multiply 2,401 calves by $14 per shot to find the total amount needed for shots, $33,614.
  7. Add the cost of the food to the cost of the vaccinations to find the total cost of caring for the cows for two weeks.
    • $5,072.97 + $33,614 = $38,686.97.

 

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