A manager purchased a total of 21 coffee mugs and key chains. each coffee mug cost $8.50, and each key chain cost $2.75 . if manager spent total of $132.50, how many coffee mugs did the manager purchase please help solve this I put a answer just not positive it's right

Respuesta :

Let, the number of Coffee mug = x
& number of key chain = y
Then, x + y = 21
& 8.50x + 2.75y = 132.50

Multiply first equation by 2.75, 
2.75x + 2.75y = 57.75
Now, subtract this one from second equation, 
5.75x = 74.75
x = 74.75 / 5.75
x = 13

In short, Your Answer would be 13

Hope this helps!

The number of coffee mugs the manager bought is 13.

The linear equations that can be used to represent the information in the question

c + k = 21 equation 1

8.50c + 2.75k = 132.50 equation 2

Where:

c = number of coffee mugs

k = number of key chains

What is the number of coffee mugs bought?

In order to determine the required value, multiply equation 1 by 2.75

2.75c + 2.75k = 57.75 equation 3

Subtract equation 2 from equation 3

74.75 = 5.75c

Divide both sides by 5.75

c = 13

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552