John picks 12 lb of peaches. He divides the peaches between himself, his grandmother, and his neighbor in a ratio of 1:1:2, respectively. How many pounds of peaches does each person get?
1 + 1 + 2 = 4
12 / 4 = 3
3 : 3 : 6
To find out how many pounds of peaches each person gets, you need to divide the total weight of peaches by the sum of the parts in the ratio.
In this case, the ratio is 1:1:2, which means there are a total of 1+1+2=4 parts.
To calculate the weight of peaches each person gets, you will divide the total weight, which is 12 lb, by the total number of parts, which is 4.
So, each part is worth 12 lb / 4 parts = 3 lb.
Now, to find out how much each person gets, you multiply their respective parts by the value of each part.
For John and his grandmother, who have a ratio of 1:1, they each get 1 part * 3 lb/part = 3 lb.
For the neighbor, who has a ratio of 2, they get 2 parts * 3 lb/part = 6 lb.
Therefore, John and his grandmother each get 3 lb of peaches, while their neighbor gets 6 lb.