Julia and Cody are working together on solving math problems. For every one problem that Juliacompletes, Cody completes twelve. If the number of problems solved by Cody is one hundred twentmore than two times the number of problems solved by Julia, how many problems has Cody solved
Accepted Solution
A:
Answer:Cody has solved (12 × 12) = 144 problems.Step-by-step explanation:For every one problem that Julia completes, Cody completes twelve.
If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)
Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.
Hence, 2x + 120 = y ......... (2)
Now, from equations (1) and (2) we get, 2x + 120 = 12x
⇒ 10x = 120
⇒ x = 12
Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)