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Of the birds in a particular aviary, 30 are both spotted and crested and 10 are neither spotted nor crested. what is the total number of birds in the aviary?

(1) the number of birds that are spotted but not crested is 10 greater than the number of birds that are crested but not spotted.
(2) more than 3/5 of the birds in the aviary are spotted.

1 Answer

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The total number of birds in the aviary (2) more than 3/5 of the birds in the aviary are spotted. Therefore, (2) more than 3/5 of the birds in the aviary are spotted is correct .

We must locate the following Sum total: 10 + area in pink + 30 + area in yellow

The proportion of spotted but uncrowned birds is 10 times higher than that of crested but unspotted birds.

According to this, the pink area is 10 times larger than the yellow area.

However, the parts that are pink and yellow lack a numerical value.

(2) Over three-quarters of the aviary's birds are spotted.

As stated below, (pink region + 30) > (3/5) Total Amount

Once more, the pink and yellow zones have no values. For a wide range of pink and yellow region values, this discrepancy will persist.

Combining the two, let's say that pink region = 10+x(10 + x + 30) > (3/5)*(10 + 10 + x + 30 + x) x < 50 and yellow region = x.

Still, there are numerous values for x. For instance, x = 40

70 spotted birds

110 birds in all.

7/11 versus 3/5

x equals thirty

60 spotted birds

Ninety birds in total.

60/90 > 3/5

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