Respuesta :
Question:
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?
Answer:
106 total cupcakes were made on wednesday
Solution:
Given that, bakery makes three types of cupcakes: vanilla, red velvet, and double chocolate
From given,
On Wednesday, he made 18 vanilla cupcakes, which was 17% of the total amount of cupcakes he made
Number of vanilla cupckaes made = 18
Let "x" be the total amount of cupcakes he made
Therefore,
17 % of total cupcakes is equal to 18
17 % of "x" = 18
Solve the above equation for "x"
[tex]17 \% \times x = 18\\\\\frac{17}{100} \times x = 18\\\\0.17x = 18\\\\Divide\ both\ sides\ of\ equation\ by\ 0.17\\\\x = \frac{18}{0.17}\\\\x = 105.88 \approx 106[/tex]
Thus 106 total cupcakes were made on wednesday