Roberto wants to display his 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different ways can Roberto display his figures?

Answer:Step-by-step explanation:Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.2a + 3b =18Ricardo can fill up 9 2-card pages, and 6 3-card pages.a=9, b=0We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:a=6, b=2Add 2 to b once more:a=3, b=4One more time:a=0, b=6:Thus, Ricardo can display his figures in the following page combinations:a=9, b=0a=6, b=2a=3, b=4a=0, b=6Remember that a= number of 2-card pages and b=number of 3-card pagesThere are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.