Question

Kaleb has 45 DVD's in his collection and Eileen has 61. If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month, after how many months will Kaleb and Eileen have the same amount of DVD's?

Answer 1

Answer: After 8 months they will have equal number of DVD's.

Step-by-step explanation:

Given: Kaleb has 45 DVD's in his collection and Eileen has 61.

Let x= Number of months

If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month , then

Total DVD's Kaleb has = 45+4x

Total DVD's Eileen has = 61+2x

When they has equal DVD's , then

$45+4x =61+2x\\\\\Rightarrow\ 4x-2x=61-45\\\\\Rightarrow\ 2x=16\\\\\Rightarrow\ x=\dfrac{16}{2}\\\\\Rightarrow\ x=8$

Hence, after 8 months they will have equal number of DVD's.