Leo and Isaac had 95 marbles altogether. Leo gave away 3 more marbles than Isaac. Isaac was left with 5 fewer than the marbles he gave away. Leo had 2 more marbles left than Isaac. How many marbles did Leo give away?

Draw a model by using the information in the question.

Guest Apr 21, 2021

#1**+1 **

Let Leo start with N marbles

Then Issac started with 95 - N marbles

Let the number of marbles that Issac gave away = G

Then Leo gave away G + 3

From Issac's point of view

(95 - N) - G = G - 5

95 - N = 2G- 5

95 + 5 - 2G = N

100 - 2G = N (1)

From Leo's point of view

N - (G + 3) = (G - 5) + 2

N - G - 3 = G - 3

N = 2G (2)

Equating (1) and (2) we have

100 - 2G = 2G

100 = 4G

100 / 4 = G = 25

So Leo gane away G + 3 = 28 marbles

Proof

N = 2G = 50 = what Leo started with

95 - 50 = 45 = what Isaac started with

Leo gave away 28 and was left with 22

Isaac gave away 25 and was left with 20

And Leo was left with two more marbles than Isaac

CPhill Apr 21, 2021