Question

Mitchell brought chocolate and vanilla cupcakes to school for his birthday. 76 students decided to take a cupcake,and 75% of them picked vanilla. How many people picked a vanilla cupcake?

Answer 1

228 people picked vanilla cupcake.

Explanation:

Given:

Mitchell brought chocolate and vanilla cupcakes to school for his birthday.

76 students decided to take a chocolate cupcake,and 75% of them picked vanilla.

Now, to find the people picked a vanilla cupcake.

Let the total number of people be
`x.`

People picked vanilla =
`75\%\ of\ x.`

People picked chocolate = 76.

According to question:

`x-75\%\ of x=76.`

`x-(75)/(100) * x=76`

`x-0.75x=76`

`0.25x=76`

Dividing both sides by 0.25 we get:

`x=304.`

Thus, total number of people = 304.

Now, to get the people picked vanilla cupcake:

75% of 304.

`=(75)/(100) * 304`

`=0.75* 304`

`=228.`

Therefore, 228 people picked vanilla cupcake.