Answer:
228 people picked vanilla cupcake.
Step-by-step 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 [tex]x.[/tex]
People picked vanilla = [tex]75\%\ of\ x.[/tex]
People picked chocolate = 76.
According to question:
[tex]x-75\%\ of x=76.[/tex]
[tex]x-\frac{75}{100} \times x=76[/tex]
[tex]x-0.75x=76[/tex]
[tex]0.25x=76[/tex]
Dividing both sides by 0.25 we get:
[tex]x=304.[/tex]
Thus, total number of people = 304.
Now, to get the people picked vanilla cupcake:
75% of 304.
[tex]=\frac{75}{100} \times 304[/tex]
[tex]=0.75\times 304[/tex]
[tex]=228.[/tex]
Therefore, 228 people picked vanilla cupcake.
