The number of Samad's stamps is 30% of Derrick's stamps. The number of Derrick's stamps is 40% of Bee Hua's stamps. If they have 608 stamps, how many stamps does Derrick have?

S=.3D

D=.4B
B+D+S=608

sorry i can't get it, pls explain further. tks

first equation, combine that with the second and third equation.

S=.3D
S=.3*.4D
Put that into the last equation.

1) B+D+.12D=608
now, solve for B in the second equation
B=D/.4=2.5D Now put that in your equation 1) above, solve for D

To find the number of stamps Derrick has, we can follow these steps:

Step 1: Let's assume the number of stamps Bee Hua has is "x".

Step 2: According to the problem, the number of stamps Derrick has is 40% of Bee Hua's stamps. So, Derrick has 0.4x stamps.

Step 3: The number of Samad's stamps is 30% of Derrick's stamps. So, Samad has 0.3 * 0.4x = 0.12x stamps.

Step 4: The total number of stamps they have together is given as 608 stamps. So, we can write the equation: x + 0.4x + 0.12x = 608.

Step 5: Simplifying the equation, we get 1.52x = 608.

Step 6: Dividing both sides of the equation by 1.52, we find x = 400.

Step 7: Now, we can substitute the value of x back into the equation in Step 2 to find Derrick's stamps: 0.4 * 400 = 160.

Therefore, Derrick has 160 stamps.