Question

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

Answer 1

The manager purchased 13 coffee mugs.

Step-by-step explanation:

To find the number of coffee mugs purchased, we can set up a system of equations. Let's say the number of coffee mugs is represented by x and the number of key chains is represented by y. We have two pieces of information:

1. The total number of items purchased is 21: x + y = 21

2. The total cost of the purchase is $132.50: 8.50x + 2.75y = 132.50

Now we can solve this system of equations to find the value of x, which represents the number of coffee mugs:

Multiplying the first equation by 8.50, we get: 8.50x + 8.50y = 178.50

Subtracting the second equation from this new equation, we get: 8.50x + 8.50y - 8.50x - 2.75y = 178.50 - 132.50

Simplifying, we have: 5.75y = 46

Dividing both sides of the equation by 5.75, we find: y = 8

Substituting this value into the first equation, we can solve for x: x + 8 = 21

x = 13

Therefore, the manager purchased 13 coffee mugs.

Answer 2

I think you have to add the costs. Hope this helps