Final answer:
To find the cost of the coffee mug, define the cost of the mug as x and the kapeng barako as x + php 125. Together they cost php 310, which gives the equation x + (x + 125) = 310. Solving for x gives the coffee mug's cost as php 92.5.
Step-by-step explanation:
The question is asking to determine the cost of the coffee mug when the bag of kapeng barako and the coffee mug together cost php 310, and the bag of kapeng barako costs php 125 more than the coffee mug. Let's define the cost of the coffee mug as x. Therefore, the cost of the bag of kapeng barako is x + php 125. According to the problem, the sum of the cost of the coffee mug and the cost of the bag of kapeng barako is php 310.
The equation representing this situation is:
Solving for x we get:
- 2x + 125 = 310
- 2x = 310 - 125
- 2x = 185
- x = 185 / 2
- x = 92.5
Therefore, the cost of the coffee mug is php 92.5.