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Gabe's Ice Cream Shop sold 1010 sundaes with nuts and 66 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?\newlineChoices:\newline(A) 16:1016:10\newline(B) 6:166:16\newline(C) 6:206:20\newline(D) 10:610:6

Full solution

Q. Gabe's Ice Cream Shop sold 1010 sundaes with nuts and 66 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?\newlineChoices:\newline(A) 16:1016:10\newline(B) 6:166:16\newline(C) 6:206:20\newline(D) 10:610:6
  1. Identify Sundaes: Step 11: Identify the number of sundaes with nuts and the number of sundaes without nuts.\newlineSundaes with nuts: 1010\newlineSundaes without nuts: 66
  2. Write Ratio: Step 22: Write the ratio of the number of sundaes with nuts to the number of sundaes without nuts.\newlineThe ratio is 10:610 : 6.
  3. Simplify Ratio: Step 33: Simplify the ratio if possible.\newlineBoth 1010 and 66 can be divided by 22.\newlineSimplified ratio: 5:35 : 3.
  4. Choose Correct Ratio: Step 44: Choose the correct ratio from the given choices.\newlineNone of the choices match 5:35 : 3. The closest is 10:610 : 6 which is the unsimplified version of the ratio.

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