anne, ryan and joel collect empty cans for recycling. they collect a total of 1925 cans. anne collects half as many cans as ryan. joel collects twice as many cans as ryan. how many cans does joel collect?
To solve this problem, let's assign variables to each person's collection:
Let's say Ryan collects x cans.
According to the problem, Anne collects half as many cans as Ryan, so Anne collects (1/2)*x cans.
Joel collects twice as many cans as Ryan, so Joel collects 2x cans.
We are given that the total number of cans collected by all three is 1925 cans.
So, we can set up the equation:
x + (1/2)*x + 2x = 1925
Combining like terms, we get:
(5/2)*x = 1925
To solve for x, we can multiply both sides of the equation by 2/5:
x = (1925 * 2) / 5
= 770
So, Ryan collects 770 cans.
Anne collects (1/2)*770 = 385 cans.
Joel collects 2 * 770 = 1540 cans.
Therefore, Joel collects 1540 cans.