Question

80 people were asked which was their favourite animal.
The pictogram shows the results.
The key is missing.
Cat
a)
Which animal was the least popular?
b)
How many people does
represent?
Dog
Giraffe DDI
Monkey D.
Dolphin
c)
How many more people preferred
giraffes than dogs?

Answer 1

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the $\square$ be x.

Half of $\square$ =x/2

From the pictogram, we then have:

$Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x$

Therefore:

$x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8$

So we have the following numbers

$Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24$

(a)Cat was the least popular

(b) $\square$ represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

Answer 2

A pictogram is a simple drawing that represents something

(a). Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Let us consider that a large complete square represented by variable y .

Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.

It means, Peoples who like cat = $y+\frac{y}{4}$

Similarly,

People who like dog = $y+\frac{3}{4}y$

Peoples who like Giraffe = $2y+\frac{y}{2}$

Peoples who like monkey = $y+\frac{y}{2}$

Peoples who like Dolphin = $3y$

Since, total people = 80

Therefore,

       $y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8$

So, a complete large square is equivalent to 8 peoples.

Peoples who like giraffes = $2y+\frac{y}{2}=2(8)+\frac{8}{2}=20$

Peoples who like dog = $y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14$

So, 20 - 14 =6 more people preferred giraffes than dogs.

Thus,

(a) Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

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