Nicole breeds pit-bull terriers. Her dog. Bella, gave birth to 7 puppies. For the female pup she charges $550 and $500 for males. Her profit comes out to be $3650, determine how many males and female were born.

Question

Guest

Mathematics

19 September, 02:13

Nicole breeds pit-bull terriers. Her dog. Bella, gave birth to 7 puppies. For the female pup she charges $550 and $500 for males. Her profit comes out to be $3650, determine how many males and female were born.

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Answers (1)

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Ismael · Answer 1

The answer to your question is 4 males and 3 females were born.

Step-by-step explanation:

Data

total number of puppies = 7

price of females = f = $550

price of males = m = $500

Profit = $3650

Process

1. - Write two equations that represent this problem

f + m = 7

550f + 500m = 3650

2. - Solve this system of equations by substitution

f = 7 - m

550 (7 - m) + 500m = 3650

Simplify

3850 - 550m + 500m = 3650

Solve for m

- 550m + 500m = 3650 - 3850

- 50m = - 200

m = - 200/-50

m = 4

3. - Calculate f

f = 7 - 4

f = 3