Question

Eddie found a store that sells cell phone cases
for $18.50 plus $0.15 per letter engraved on the
case. A second store sells cases for $18.00 plus
$0.25 per letter engraved on the case. How
many letters would Eddie have to engrave on his
case for it to cost the same at either store?
A. 5 letters (go to cord 1)
KANAAAAAAAAAAAAAAAAA
B. 10 letters (go to card 8)
C. 7 letters (go to card 3)
D. 50 letters (go to card 10)

Answer 1

Answer: A, 5 letters

Step-by-step explanation:

Let x represent the number of letters that Eddie would have to engrave on his case for it to cost the same at either store.

Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. It means that the cost of buoying and engraving x letters on a case bought from this store is

18.5 + 0.15x

A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. It means that the cost of buoying and engraving x letters on a case bought from this store is

18 + 0.25x

For the cost at either stores to be the same, the number of letters would be

18.5 + 0.15x = 18 + 0.25x

0.25x - 0.15x = 18.5 - 18

0.1x = 0.5

x = 0.5/0.1

x = 5 letters