Question

There are some animals in a zoo: twice as many monkeys as giraffes, 8 more elephants than giraffes, and 56 lions. What does the pie chart represent regarding the number of monkeys, giraffes, elephants, and lions in the zoo?

A) 12% monkeys, 15% giraffes, 40% elephants, 33% lions
B) 25% monkeys, 20% giraffes, 40% elephants, 15% lions
C) 30% monkeys, 15% giraffes, 40% elephants, 15% lions
D) 40% monkeys, 10% giraffes, 30% elephants, 20% lions

Answer 1

The pie chart represents the percentage of monkeys, giraffes, elephants, and lions in the zoo.

Step-by-step explanation:

The given information states that there are twice as many monkeys as giraffes and 8 more elephants than giraffes. It also mentions that there are 56 lions in the zoo. Let's solve this step-by-step:

1. Let's assume the number of giraffes as 'x'. Therefore, the number of monkeys would be '2x' since there are twice as many monkeys as giraffes.
2. According to the given information, there are 8 more elephants than giraffes. So, the number of elephants would be 'x + 8'.

Now, we can add up the total number of animals in the zoo:

1. Lions: 56
2. Monkeys: 2x
3. Giraffes: x
4. Elephants: x + 8

The pie chart represents the percentage of each animal in the zoo. To find the percentages, we need to calculate the total number of animals and their respective proportions.

To find the total number of animals, we can add up the number of each animal:

Total number of animals = 56 + 2x + x + (x + 8)

We can simplify the equation:

Total number of animals = 56 + 2x + x + x + 8

Total number of animals = 3x + 64

Now, we can calculate the proportion of each animal:

Proportion of monkeys = (2x / (3x + 64)) * 100

Proportion of giraffes = (x / (3x + 64)) * 100

Proportion of elephants = ((x + 8) / (3x + 64)) * 100

Proportion of lions = (56 / (3x + 64)) * 100

By simplifying these equations, we can determine the answer.