Question

Redda wanted to give marbles to the neighborhood children. If he gives 10 marbles to each child, he would be 35 short. If he tries 13 marbles each, he will would be short of 119 marbles. How many marbles does he have in total?

Answer 1

245

Explanation:

Let x be the number of children, and y be the total number of marbles he has.
For the first statement, the equation will be:
`10x = y + 35`
For the second statement, the equation will be:
`13x = y + 119`

1. Make y the subject of the first equation.
   `y = 10x - 35`

2. Substitute this equation into the second equation
   `13x = (10x - 35) + 119`
   `3x=84`
   `x=28`

3. Substitute x into the the first equation to get y.
   `10(28) = y +35`
   `y = 245`