Elena has 60 colored pencils, and lucy has 26 colored pencils. howmany pencils must elena give to lucy so that elena will have 4 more colored pencils than lucy?

Question

asked Oct 13, 2020 107k views

1 Answer

Khunshan · Answer 1 · 2020-10-17T02:58:09+0000

Answer: 15

Explanation:

Given : Elena has 60 colored pencils, and Lucy has 26 colored pencils.

Total colored pencils =
60+26=86

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 :-

$\text{Total pencils : }x+y=86-----(1)\\\\\text{Colored pencils left with Elena : }y=4+x-----(2)$

We can rewritten the equation (2) as

y-x=4

Now, add equation (1) and (2), we get

$2y=90\\\\\Rightarrow\ y=(90)/(2)=45$

Put the value of y in (2), we get

$45=4+x\\\\\Rightarrow\ x=45-4=41$

It means, the number of pencils Lucy has now =41

The number of pencils Elena give to Lucy=
41-26=15

Hence, Elena must give 15 pencils to lucy so that elena will have 4 more colored pencils than Lucy.