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 the manager spent a total of $132.50, how many coffee mugs did the manager purchase?
Answers
Given:
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 the manager spent a total of $132.50
To find:
How many coffee mugs did the manager purchase?
Solution:
Let's assume,
"x" → represents the no. of coffee mugs
"y" → represents the no. of key chains
Since we have a total of 21 coffee mugs and key chains, so we can form an equation as,
...... (i)
Also, since the manager spent a total of Rs. 132.50 as each coffee mugs cost Rs. 8.50 and each key chains cost Rs. 2.75, so we can form an equation as,
....... (ii)
On multiplying the eq. (i) with 2,75 throughout, we get
..... (iii)
Now, on subtracting eq. (iii) from (ii), we get
8.50x + 2.75y = 132.50
2.75x + 2.75y = 57.75
- - -
-----------------------------------
5.75x = 74.75
---------------------------------
∴ x = = 13 ← no. of coffee mugs
Thus, the manager purchased 13 coffee mugs.
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