Answer: 15
Step-by-step explanation:
Given : Elena has 60 colored pencils, and Lucy has 26 colored pencils.
Total colored pencils = [tex]60+26=86[/tex]
Let 'x' denotes the number of pencils Lucy has when she get pencils from Elena , and Elena left with 'y' pencils.
Then, by considering the given information we have the following system :-
[tex]\text{Total pencils : }x+y=86-----(1)\\\\\text{Colored pencils left with Elena : }y=4+x-----(2)[/tex]
We can rewritten the equation (2) as
[tex]y-x=4[/tex]
Now, add equation (1) and (2), we get
[tex]2y=90\\\\\Rightarrow\ y=\dfrac{90}{2}=45[/tex]
Put the value of y in (2), we get
[tex]45=4+x\\\\\Rightarrow\ x=45-4=41[/tex]
It means, the number of pencils Lucy has now =41
The number of pencils Elena give to Lucy= [tex]41-26=15[/tex]
Hence, Elena must give 15 pencils to lucy so that elena will have 4 more colored pencils than Lucy.
