Question

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?

Answer 1

x = 1/4(x - 408) + 24/100x + 408
x = 600

Answer 2

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.