Carcass wrote:
Betty sold \(\frac{3}{5}\) of her family’s garage sale items. Ernest sold \(\frac{1}{2}\) of the remaining items. What fraction of the family’s garage sale items did Ernest sell?
To solve this question we can use either algebra, or we can
assign a "nice value" to the number of garage sale items we started with.
Let's choose a number that works well with the given values: 3/5 and 1/2
Let's say there were
30 items for sale ORIGINALLY
Betty sold 3/5 of her family’s garage sale items.3/5 of
30 = (3/5)(
30) = 18
So, Betty sold
18 items
30 - 18 =
22So there are now
12 items REMAINING
Ernest sold 1/2 of the remaining items.1/2 of
12 = (1/2)(
12) = 6
So, Ernest sold
6 items
What fraction of the family’s garage sale items did Ernest sell?6/
30 =
1/5Answer: 1/5
Cheers,
Brent