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
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.
c + k = 21 equation 1
8.50c + 2.75k = 132.50 equation 2
Where:
c = number of coffee mugs
k = number of key chains
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