Daily Math Puzzle: 2026-07-31
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2026-07-31
A dedicated wildlife rescue center rehabilitates injured birds. Last year, they successfully released 40% of all admitted birds back into the wild. This year, thanks to innovative new care techniques, for every 10 birds admitted, the center is now able to release 3 *additional* birds compared to last year's rate. If the center admitted the exact same number of birds this year as last year, what percentage of birds were successfully released this year?
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Solution
70% — Let's assume the rescue center admitted a convenient number of birds, for example, 100 birds, both last year and this year.
**Last year's release rate:**
40% of all admitted birds were released. If 100 birds were admitted, then 0.40 * 100 = 40 birds were released.
**Understanding the new technique this year:**
The puzzle states that 'for every 10 birds admitted, the center is now able to release 3 *additional* birds compared to last year's rate.'
First, let's determine how many birds were released *per 10 birds* last year:
Last year, 40% of 10 birds were released = 0.40 * 10 = 4 birds.
Now, apply the new technique for this year, considering a batch of 10 birds:
For every 10 birds, they release 3 *additional* birds. So, this year, for every 10 birds, they release: 4 (from last year's rate) + 3 (additional) = 7 birds.
**Calculating this year's total release percentage:**
If the center admitted the same 100 birds this year, there are 10 sets of 10 birds (100 admitted / 10 birds per set = 10 sets).
So, the total birds released this year = 10 sets * 7 birds/set = 70 birds.
To find the percentage released this year: (70 birds released / 100 birds admitted) * 100% = 70%.
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