anne, ryan and joel collect empty cans for recycling. They collect a total of 1,925 cans. Anne collects half as many cans as ryan.Joel collects twice as many cans as ryan.how many cans does joel collect?
275
To find out how many cans Joel collects, let's start by assigning variables:
Let:
- A = the number of cans Anne collects,
- R = the number of cans Ryan collects,
- J = the number of cans Joel collects.
We know that:
1) Anne collects half as many cans as Ryan, so A = (1/2)R.
2) Joel collects twice as many cans as Ryan, so J = 2R.
We also know that the total number of cans collected by all three is 1,925, so A + R + J = 1,925.
Using the information we have, let's substitute the values of A and J in terms of R:
A = (1/2)R,
J = 2R.
Now we can substitute these values into the equation A + R + J = 1,925:
(1/2)R + R + 2R = 1,925.
Combining like terms, we have:
(5/2)R = 1,925.
To solve for R, we can multiply both sides of the equation by 2/5:
R = 1,925 * (2/5).
Calculating R:
R = 770.
Now we can find out how many cans Joel collects by substituting the value of R into the equation J = 2R:
J = 2 * 770.
Calculating J:
J = 1,540.
Therefore, Joel collects 1,540 cans.
R = Ryan
0.5R = Anne
2R = Joel
R + 0.5R + 2R = 1925
3.5R = 1925
R = 1925 / 3.5
R = 550