Question

Dan and Bob together have 182 cards. The ratio of Dan's cards to Bob's cards is 8:5. How many more cards does Dan have?

Answer 1

Dan have 42 cards more than Bob

Explanation:

Let

x ----> number of cards that Dan has

y ----> number of cards that Bob has

we know that

`x+y=182` ----> equation A

`(x)/(y)=(8)/(5)` ----->
`x=(8)/(5)y` ----> equation B

substitute equation B in equation A

`(8)/(5)y+y=182`

Solve for y

`(13)/(5)y=182`

`y=182(5)/13\\y=70`

Find the value of x

`x=(8)/(5)(70)=112`

so

Dan's cards is 112

Bob's cards is 70

Find out the difference between Dan's cards and Bob's cards

`112-70=42`

therefore

Dan have 42 cards more than Bob