Jerry, Ken and Leon shared some stamps. Jerry took 408 stamps. Ken took 1/4 of the remainder. Leon had 24% of the total number of stamps. How many stamps did the 3 boys have altogether?
x = 1/4(x - 408) + 24/100x + 408
x = 600
Let's start by finding the total number of stamps before they started sharing:
Jerry took 408 stamps, so the number of stamps remaining is:
total - 408
Ken took 1/4 of the remainder, which means he took:
(1/4)(total - 408)
Leon had 24% of the total number of stamps, which means he had:
0.24(total)
To find the total number of stamps, we can add up these three quantities and set the sum equal to the total:
408 + (1/4)(total - 408) + 0.24(total) = total
We can simplify this equation by multiplying everything by 4 to get rid of the fraction:
1632 + total - 408 + 0.96(total) = 4total
Simplifying further:
1224 = 2.04(total)
Dividing both sides by 2.04:
total = 600
Therefore, the three boys had 600 stamps altogether.