At a store a trophy cost $12.50. Engraving cost &0.40 per letter. At a other store the same trophy cost $14.75. Engraving cost $0.25. How many letters must be engraved for the cost to be the same.

15 letters must be engraved for the cost to be the same.

Step-by-step explanation:

Let x represent number of letters.

We have been given that at a store a trophy cost $12.50. Engraving cost &0.40 per letter. So cost of engraving x letters at store one would be .

We are also told that at a other store the same trophy cost $14.75. Engraving cost $0.25.  So cost of engraving x letters at store two would be .

To find the number of letters that must be engraved for the cost to be the same, we will equate both equations and solve for x.

Combine like terms:

Therefore, 15 letters must be engraved for the cost to be the same.