Question

A bag of 4100 chocolates is packed in 3 different types of boxes the ratio of the number of chocolates in 1 box to the no of chocolates in box 2 is 2:5 and the ratio of number of chocolates in box 3 is 3:4 .find the number of chocolates in each box

Answer 1

Answer:

600, 1500, 2000

Step-by-step explanation:

Number of chocolates= 4100

Number in boxes: box 1= x, box 2= y, box 3= z

Ratio of numbers:

x/y=2/5 and  y/z=3/4, changing these to have a common number for y:

x/y=6/15 and y/z=15/20

So ratio of 3 numbers now:

x:y:z=6:15:20

6+15+20=41 parts make 4100 so, each part equals to 100 and we have numbers as:

x=600, y=1500, z=2000 chocolates in boxes

Answer 2

Given:

Number of chocolates in bag=4,100

Number of boxes=3

The ratio of number of chocolates in boxes 1 and 2=2:5

The ratio of number of chocolates in boxes 2 and 3=3:4

To find:

The number of chocolates in each box

Solution:

We can find the number of chocolates by following the given steps-

We know that the ratio of any two boxes can be used to calculate the ratio of all three boxes.

The number of chocolates in box 1: Number of chocolates in box 2=2:5 = 6:15

The number of chocolates in box 2: Number of chocolates in box 3=3:4 = 15:20

The ratio of all the three boxes= Number of chocolates in box 1: Number of chocolates in box 2:Number of chocolates in box 3

=6:15:20

The total number of chocolates=4100

Number of chocolates in box 1= 6×4100/41

= 600 chocolates

Number of chocolates in box 2= 15×4100/41

=1500 chocolates

Number of chocolates in box 3= 20×4100/41

=2000 chocolates

Therefore, the number of chocolates in each box is 600, 1500, and 2000.