David and Sam has some trading cards at a ratio of 4:5. Later on, both collected some more cards. David collected an additional 50% of cards and Sam doubled his number of cards. sam now has 40 more cards than David. How many cards did they have altogether in the end?

Number of cards they have 160 in the end.

Step-by-step explanation:

Given,

The ratio of cards David and Sam has = 4:5

Again,

David collected an additional 50% of cards.

Sam doubled his number of cards.

Sam now has 40 more cards than David

To find total number of cards they have.

Let,

David has 4x cards

Sam has 5x cards

Again,

Number of cards David has = 4x × = 6x

Number of cards Sam has = 5x×2 = 10x

According to the problem,

10x = 6x+40

or, 10x-6x = 40

or, 4x = 40

or, x = 10

Altogether they have = 6x+10x = 16x

= 16×10 = 160

Hence,

Number of cards they have 160 in the end.