Anna and Maddie collected clothes for a clothing drive
Let the number bag of clothes be x
Anna collected 4/5 of a bag of clothes
Anna collected 1/2 as many clothes as Maddie
Anna = 1/2M
Let M be the number of clothes Maddie collected
Since Anna collected 4/5 of bag of clothes
4/5 = 1/2 x M
4/5 = M/2
Introduce cross multiplication
4 x 2 = 5 x M
8 = 5M
Divide both sides by 5
8/5 = 5M/5
M = 8/5
Maddie collected 8/5 of a bags of clothes
The answer is 8/5