Gap Units Concept (Full Gap)

Given: Excess and No Remainder

First

Ismail has some cookies. If he gives each of his friends 5 cookies, there would be no remainder.

If he gives each of them 3 cookies instead, he would have 36 left. How many cookies does Ismail have?

Big Unit = 5 cookies each
Small Unit = 3 cookies each
Gap Unit = 5 - 3 = 2 cookies each

Gap Amount = 36 cookies left

Number of Units
= 36 cookies ÷ 2 cookies each
= 18 units = 18 friends

Number of cookies
= 18 friends × 5 cookies each
= 90 cookies