A few days ago
pink lady!

that is the question below?

The American Kennel Club recognizes 7 categories of dogs plus one for miscellaneous breeds. In 2002 Dual Championships were awarded to 141 dogs. Dual champions are dogs that show excellence in both breed standard and ability to perform the function for that breed. Out of those 141 dogs, one was awarded to a dog in the toy class and 3 to dogs in the herding breeds. The remaining Dual Championships were awarded to dogs in the sporting breeds and the hound breeds. There were 93 more Dual Championships awarded to dogs in the hound breeds than the sporting breeds. (Source: American Kennel Club)

Let s = number of sporting breeds awarded Dual Championships

Let h = number of hound breeds awarded Dual Championships.

Write a system of equations that could be used to determine the number of Dual Championships awarded to sporting breeds and hound breeds.

Hint: Determine the total number of Dual Championships awarded to the sporting breeds and hound breeds and use this for one equation. The second equation will be the difference in the number awarded to the two categories.

Solve each equation for your variables and express the solution as an ordered pair.

How many sporting breeds and how many hound breeds received Dual Championships?

Top 1 Answers
A few days ago
achaminadefriend

Favorite Answer

Solve for # of Sporting + Hound Breeds:

141 – 1 – 3 = 137

Let s = number of sporting breeds awarded Dual Championships

Let h = number of hound breeds awarded Dual Championships.

Set up 2 equations:

h + s = 137

h = s + 93

Substitue:

s + 93 + s = 137

2s = 44

s = 22

h = 22 + 93

h = 115

Final Answer:

22 Sporting Breeds received Dual Championships

115 Hound Breeds received Dual Championships

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