Question

Complete the problem to represent the situation given by the equation 0.40e + 10 + 15 = 0.20e + 5 + 25. At one store a trophy costs $15, initial engraving set-up cost $0.40 , and engraving costs $0.20 per letter. At another store, the same trophy costs $25 , initial engraving set-up costs $5, and engraving costs $10 per letter. How many letters, e, must be engraved for the costs to be the same?

Answer 1

Answer: The number of letters that must be engraved for the costs to be the same is 125.

Explanation:

Since we have given that

`0.4e+10+15=0.20e+5+25`

We need to find the number of letters.

`0.4e+25=0.2e+30\\\\0.4e-0.2e=30-25\\\\0.2e=25\\\\e=(25)/(0.2)\\\\e=125`

Hence, the number of letters that must be engraved for the costs to be the same is 125.