Question

A baker at a successful bakery makes three types of cupcakes: vanilla, red velvet, and double chocolate. On Wednesday, he made 181818 vanilla cupcakes, which was 17\%17%17, percent of the total amount of cupcakes he made. How many total cupcakes did the baker make on Wednesday?

Answer 1

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"

$17 \% \times x = 18\\\\\frac{17}{100} \times x = 18\\\\0.17x = 18\\\\Divide\ both\ sides\ of\ equation\ by\ 0.17\\\\x = \frac{18}{0.17}\\\\x = 105.88 \approx 106$

Thus 106 total cupcakes were made on wednesday