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Dmitriy789 [7]
3 years ago
6

Paws at play made a total of $1234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog

.
a. Write a system of equations that can be used to determine the number of small and large dogs that were groomed.

b. How many large dogs did Paws at Play groom?
Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer:

<u>Answer (a):</u>

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

<u>Answer (b)</u>

9 large dogs.

Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

Paws at Play charges $43 to groom each small dog and;

$75 for each large dog.

Let the number of small dogs be 's'

And the number of large dogs be 'l'

<u>A system of equations will be:</u>

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = \frac{288}{32} = 9

So there are 9 large dogs.

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