Aisha and Tasha have a combined total of 30 books with Aisha having twice as many. Which proportion relates their books?

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To find the correct proportion that relates Aisha and Tasha's books, we first establish their individual quantities based on the information provided. Let A represent the number of books Aisha has, and T represent the number of books Tasha has. According to the problem, Aisha has twice as many books as Tasha, leading to the relationship A = 2T. Additionally, we know that their total combined books amount to 30, which gives us the equation A + T = 30.

Substituting A = 2T into the total equation, we get 2T + T = 30, or 3T = 30, allowing us to determine that T = 10 and thus A = 20.

Now, we consider the correct proportion presented in option C: A:(T+A) = 2:3. This means that the number of books Aisha has (A) is compared to the total number of books they both have (T + A). The total number of books is 30, and with Aisha having 20 books, the ratio becomes 20:30.

When simplified, 20:30 reduces down to 2:3, which accurately represents the relationship between Aisha