There were 420 birds migrating to the south in the sky this morning. If the ratio of godwits to geese was 20:40, how many more geese were in the sky?

Total number of birds = 420
Godwits / Geese = 20 : 40 = 20 /40 = 1 / 2 (40 = 20 * 2 , cancel 20 on numerator and denominator)
2 Godwits = 1 Geese by cross multiplying on both sides
Godwits + Geese = 420 substitute in place of geese 2 Godwits Godwits + 2 Godwits = 420 3 godwits = 420 godwits = 420 / 3 = 140 * 3 / 3 = 140 geese = 2 * godwits = 2 * 140 = 280

Answered by Everest2017 | 2024-06-10

We know that the total was 420 birds.
We also know that the ratio of Godwits geese was 20:40, so 2: 4, which after shortening is 1: 2. Now we know that geese is twice the Godwits. Arrange the relationship:
x + 2x = 420 3x = 420 |:3 x = 140 2x = 2 * 140 = 280
We see that the geese is 280, and 140 Godwits. In total 420.

Answered by MattD | 2024-06-10

There are 420 birds in total, with a ratio of 1 godwit to 2 geese. This means there are 140 godwits and 280 geese. Therefore, there are 140 more geese than godwits in the sky.
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Answered by Everest2017 | 2024-10-31