well, first I have to do it
b - 1 = total birds at end
yellow birds:
(1/2) b - 1 = (1/3)(b-1)
b/2 = 1 -1/3 + b/3
3b/6 -2b/6 =2/3
b/6 = 2/3
b = 4
yellow = b/2 = 2
put 4 balls in a box, half of the yellow, and do the experiment
how can i explain it step by step in 3rd grade version
b - 1 = total birds at end
yellow birds:
(1/2) b - 1 = (1/3)(b-1)
b/2 = 1 -1/3 + b/3
3b/6 -2b/6 =2/3
b/6 = 2/3
b = 4
yellow = b/2 = 2
put 4 balls in a box, half of the yellow, and do the experiment
1. At the pet store, half of the birds are yellow. Let's say there were some birds at the store, and we don't know the exact number. So, let's imagine there were 10 birds in total. Half of them, or 5 birds, would be yellow.
2. Tara buys one of the yellow birds. So, now we need to subtract that bird from the total number of yellow birds. If we had 5 yellow birds before, and Tara buys one, we are left with 4 yellow birds.
3. After Tara buys, it says that one-third of the yellow birds at the store are yellow. Let's calculate what one-third of 4 is. We divide 4 by 3, which gives us 1 and a remainder of 1. Since we are talking about whole birds, we ignore the remainder and only take the whole number part. Therefore, one-third of 4 is 1.
4. Now, let's add back the bird Tara bought to the one-third of the remaining yellow birds. It means we have 1 yellow bird from Tara's purchase and 1 more from the remaining yellow birds. Adding them together gives us 2 yellow birds.
So, in conclusion, there were 2 yellow birds at the pet store before Tara bought one.