Question

Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among the four children. Each child recieved two pieces. How many pieces did she start with?

Answer 1

Aliyah started with 18 pieces

Solution:

In the given question, we have to determine the original number of pieces of candy Aliyah had

Let the number of original pieces of candy she had be "x"

Given that Aliyah first took ten pieces for herself

Hence we have to deduct 10 from original pieces "x"

So we get (x - 10)

And then evenly divided the rest among the four children

So we have to divide (x -10) by 4

$\frac{(x-10)}{4}$

Also, each child receive 2 pieces  

So, the equation formed is as follows:-

$\frac{(x-10)}{4}=2$

x – 10 = 8

x = 8 + 10 = 18

So, number of pieces at the starting were 18