Answer And Step-by-step explanation:
When the piñata burst at Evan's party, he managed to collect 48 pieces of candy. This amount represented 3/7 of the total candy that fell out of the piñata. To find out how many pieces of candy were in the piñata in total, we can use a proportion.
First, we need to determine the value of 1/7 of the candy. We can do this by dividing the total number of pieces of candy by 7. Since 3/7 of the candy was equal to 48 pieces, we can find the total amount by multiplying 48 by 7/3.
48 * 7/3 = 112
Therefore, there were a total of 112 pieces of candy in the piñata.
Now that we know the total number of pieces of candy, we can distribute them evenly among Evan and his six friends. To find out how many pieces of candy each person receives, we divide the total by the number of people:
112 / 7 = 16
Each of Evan's friends will receive 16 pieces of candy.