Answer:
To split a bag of 342 in the ratio of 4:5, we need to calculate the number of sweets each person will get.
First, we add the numbers in the ratio: 4 + 5 = 9.
Next, we write each ratio as a fraction. The ratio 4:5 can be written as 4/9 and 5/9.
To calculate the number of sweets each person will get, we divide the total number of sweets (342) by the sum of the fractions (9).
For the first person, we multiply the fraction 4/9 by the total number of sweets:
(4/9) * 342 = 152
Therefore, the first person will get 152 sweets.
For the second person, we multiply the fraction 5/9 by the total number of sweets:
(5/9) * 342 = 190
Therefore, the second person will get 190 sweets.
In summary, when splitting a bag of 342 in the ratio of 4:5, the first person will get 152 sweets and the second person will get 190 sweets.