A bowl contains blueberries and strawberries there are a total of 20 bares in the bowl the ratio blueberries to strawberries is 4 to 1 how many of each berry are in the bowl

Respuesta :

Answer:

16 blueberries and 4 strawberries

Step-by-step explanation:

Given:

A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.

The ratio blueberries to strawberries is 4 to 1

Question asked:

How many of each berry are in the bowl ?

Solution:

Ratio of blueberries and strawberries = 4 : 1

Let ratio be [tex]x[/tex]

Number of  blueberries in the bowl = [tex]4x[/tex]

Number of strawberries in the bowl = [tex]1x=x[/tex]

As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

[tex]4x+x=20\\5x=20\\[/tex]

Dividing both sides by 5

[tex]x=4[/tex]

Number of strawberries in the bowl = [tex]x[/tex] = 4

Number of  blueberries in the bowl = [tex]4x[/tex] = [tex]4\times4=16[/tex]

Thus, there are 16 blueberries and 4 strawberries in the bowl.

Answer:

There are 16 blueberries and 4 strawberries in the bowl.

Step-by-step explanation:

Given:

Total Berries in the bowl = 20

Ratio between blueberries to strawberries = 4:1

We need to find the number of each type of berry in the bowl.

Solution:

Ratio = 4:1

Now we can say that;

Let the common factor be 'x'.

So we can say that;

Number of blueberries = [tex]4x[/tex]

Number of strawberries = [tex]x[/tex]

Now we know that;

Total Berries in the bowl is equal to sum of Number of blueberries and Number of strawberries.

framing in equation form we get;

[tex]4x+x=20\\\\5x=20[/tex]

Dividing both side by 5 we get;

[tex]\frac{5x}{5}=\frac{20}{5}\\\\x=4[/tex]

Number of blueberries = [tex]4x=4\times4=16[/tex]

Number of strawberries = [tex]x=4[/tex]

Hence There are 16 blueberries and 4 strawberries in the bowl.