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A baker at a successful bakery makes three types of cupcakes: vanilla, red velvet, and double chocolate. On Wednesday, he made 18 vanilla cupcakes, which was 17% of the total amount of cupcakes he made. How many total cupcakes did the baker make on Wednesday? Choose 1 answer: (A) 35 (B) 54 (c) 94 (D) 106

A baker at a successful bakery makes three types of cupcakes: vanilla, red velvet, and double chocolate. On Wednesday, he made 1818 vanilla cupcakes, which was 17% 17 \% of the total amount of cupcakes he made. How many total cupcakes did the baker make on Wednesday?\newlineChoose 11 answer:\newline(A) 3535\newline(B) 5454\newline(C) 9494\newline(D) 106 \mathbf{1 0 6}

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Q. A baker at a successful bakery makes three types of cupcakes: vanilla, red velvet, and double chocolate. On Wednesday, he made 1818 vanilla cupcakes, which was 17% 17 \% of the total amount of cupcakes he made. How many total cupcakes did the baker make on Wednesday?\newlineChoose 11 answer:\newline(A) 3535\newline(B) 5454\newline(C) 9494\newline(D) 106 \mathbf{1 0 6}
  1. Understand Problem: Understand the problem and what is given.\newlineWe know that the baker made 1818 vanilla cupcakes, and this represents 17%17\% of the total cupcakes made that day.
  2. Set Up Equation: Set up the equation to find the total number of cupcakes.\newlineLet the total number of cupcakes be TT. According to the problem, 17%17\% of TT is equal to 1818.\newlineSo, we can write the equation as: 0.17×T=180.17 \times T = 18
  3. Solve Equation: Solve the equation for TT.\newlineDivide both sides of the equation by 0.170.17 to isolate TT.\newlineT=180.17T = \frac{18}{0.17}
  4. Perform Division: Perform the division to find the total number of cupcakes.\newlineT=180.17T = \frac{18}{0.17}\newlineT=105.88235294117646T = 105.88235294117646
  5. Round Result: Since the number of cupcakes must be a whole number, we round the result to the nearest whole number.\newlineT≈106T \approx 106
  6. Check Answer Choices: Check the answer choices to see if our result matches any of the options.\newlineThe closest match to our result is (D) 106106.

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