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A biologist was observing a pack of wolves. There were 8 female wolves and the ratio of female wolves to male wolves was 4 : 5. A little later some more male wolves arrived and the ratio was now 1 : 2. How many more male wolves arrived?



User Beier
by
6.5k points

1 Answer

4 votes

Answer:

6 male wolves

Explanation:

Step 1

Find the total number of students

A biologist was observing a pack of wolves. There were 8 female wolves and the ratio of female wolves to male wolves was 4 : 5.

Ratio of Female to make

= 4:5

Sum of Proportion = 4 + 5 = 9

Let the total number of wolves = x

Hence

4/9 × x = 8

4x/9 = 8

Cross Multiply

4x = 9 × 8

4x = 72

x = 72/4

x = 18 wolves

The current number of male wolves = 5/9 × 18

= 10 wolves

Step 2

A little later some more male wolves arrived and the ratio was now 1 : 2.

The current ratio = 4:5

The new ratio = 1:2

For 4:5 = 1:2

We Multiply the number of females by 2 = 8 × 2

= 16 females

Hence,

16 - current number male of wolves

16 - 10

= 6 male wolves

Therefore, 6 more male wolves arrived.

User Helado
by
6.6k points
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