Sugar Rounds Donut Shop offers 2 free donuts with every 20 purchased donuts. Sweet Delights Donut Shop offers 3 free donuts with every 30 purchased donuts. Which donut shop offers a greater ratio of free donuts to purchased donuts?
Question
Sugar Rounds Donut Shop offers 2 free donuts with every 20 purchased donuts. Sweet Delights Donut Shop offers 3 free donuts with every 30 purchased donuts. Which donut shop offers a greater ratio of free donuts to purchased donuts?
Solution
To solve this problem, we need to calculate the ratio of free donuts to purchased donuts for each shop.
For Sugar Rounds Donut Shop: The ratio is 2 free donuts for every 20 purchased donuts. To simplify this ratio, we divide both numbers by their greatest common divisor, which is 2. This gives us a ratio of 1 free donut for every 10 purchased donuts.
For Sweet Delights Donut Shop: The ratio is 3 free donuts for every 30 purchased donuts. To simplify this ratio, we divide both numbers by their greatest common divisor, which is 3. This gives us a ratio of 1 free donut for every 10 purchased donuts.
So, both Sugar Rounds Donut Shop and Sweet Delights Donut Shop offer the same ratio of free donuts to purchased donuts.
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