Question

A bag factory is to produce 2 000 bags in four different colors - red, white, yellow, and black in the ratio of 3:4:5:8. How many bags of each color should be made?

Answer 1

Answer:

Let the number of bags of each colour be x.

3x + 4x + 5x + 8x = 2000

20x = 2000

x = 2000/20

x = 100

________________________________

No. of red bags = 3x = 3(100) = 300

No. of white bags = 4x = 4(100) = 400

No. of yellow bags = 5x = 5(100) = 500

No. of black bags = 8x = 8(100) = 800

Answer 2

$\huge{\mathfrak{\purple{Answer}}}$

$\fbox\red{300\: red\: bags}$

$\fbox\pink{400\: white\: bags}$

$\fbox\orange{500\: yellow\: bags}$

$\fbox\pink{800\: black\: bags}$

________________

$\huge{\mathfrak{\purple{Explanation}}}$

Number of bags factory is to produce = 2000 bags

Given ratio = 3:4:5:8

So, 3 + 4 + 5 + 8 = 20

.

To find the number of each bag should be made :

Total number of bags ÷ sum of the ratio of number of bags

= 2000 ÷ 20 = 100

.

Now let's find the numbers of each bad colour should be made :

$\fbox\red{Red\: bags}$

3 × 100 = 300 red bags

$\fbox\pink{white\: bags}$

4 × 100 = 400 white bags

$\fbox\orange{yellow\: bags}$

5 × 100 = 500 yellow bags

$\fbox\pink{black\: bags}$

8 × 100 = 800 black bags