<human>:  Chloe and Max played Mario Kart together. The ratio of Chloe’s wins to Max’s wins is 8:3. Chloe won 24 times. How many times did Max win?
<bot>: Define a variable ** We are trying to figure out how many times Max won at Mario Kart, so we'll call that number Y.
How many wins did Chloe have? ** We know the ratio of Chloe’s wins to Max’s wins is 8/3, so 8/3 = 24/Y.
How many wins did Chloe have? ** Next, we will multiply to find the cross-products. 8 x Y = 3 x 24 or 8Y = 72.
How many wins did Chloe have? ** We want to get figure out Y, so we need to get it by itself by dividing by 8, like this: 8Y / 8 = 72 / 8.
How many times did Max win? ** Y = <<9=9>>9, so Max won 9 times.
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