Question

Barry's deck of cards contains 40 blue cards and 70 red cards. Max's deck of cards contains the same number of blue cards, but the ratio of blue cards to red cards is 8:9.

Main question: How many total cards does Max's deck of cards contain?

PLEASE ANSWER TODAY OR I WON'T BE ABLE TO SOLVE IT! thank you.

Answer 1

Since Max's deck of cards contains the same number of blue cards as Barry's,

letting x as the number of red cards in Max's deck of card

40 / x = 8 / 9

Solving for x

360 = 8x

x = 45

There are a total of 40 + 45 = 85 cards in Barry's deck of cards