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

Answer:

Dan have 42 cards more than Bob

Step-by-step explanation:

Let

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

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

we know that

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

$\frac{x}{y}=\frac{8}{5}$ -----> $x=\frac{8}{5}y$ ----> equation B

substitute equation B in equation A

$\frac{8}{5}y+y=182$

Solve for y

$\frac{13}{5}y=182$

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

Find the value of x

$x=\frac{8}{5}(70)=112$

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