Final answer:
To divide an amount by a ratio, sum the parts of the ratio, divide the total amount by the sum to get the value of one part, and then assign amounts by multiplying the value of one part by the parts each share gets.
Step-by-step explanation:
To solve division of amounts in a given ratio, you have to first add up the parts of the ratio to determine the total number of parts, then divide the total amount by this number to find the value of one part. Finally, multiply the value of one part by the number of parts for each share.
Example 1:
Divide 1035 in the ratio of 2:3:4. The sum of the ratio parts is 2+3+4=9. Each part is therefore 1035 ÷ 9 = 115. The shares are:
- 2 parts: 115*2 = 230
- 3 parts: 115*3 = 345
- 4 parts: 115*4 = 460
Example 2:
A father leaves $4675 in the ratio 1:3:3:4. The sum of the ratio is 1+3+3+4=11. Each part is 4675 ÷ 11 = 425. The shares are:
- 1 part: 425*1 = 425
- 3 parts: 425*3 = 1275 (for each of the two children getting 3 parts)
- 4 parts: 425*4 = 1700
Example 3:
John donates 3042 books in the ratio 1:3:5. The sum of the ratio is 1+3+5=9. Each part is 3042 ÷ 9 = 338. The shares are:
- 1 part: 338*1 = 338
- 3 parts: 338*3 = 1014
- 5 parts: 338*5 = 1690