Vaidev had a number of dragonfruits. He could pack all his dragonfruits equally into 10 boxes. If he packed 5 fewer dragonfruits in each box, he would be able to pack all his dragonfruits equally into 15 boxes. How many dragonfruits did Vaidev have altogether?
| |
15 boxes |
10 boxes |
| Number |
15 |
10 |
| Value |
1 u |
1 u + 5 |
| Total value |
15 u |
10 u + 50 |
Number of dragonfruits if they were packed into 15 boxes
= 15 x 1 u
= 15 u
Number of dragonfruits if they were packed into 10 boxes
= 10(1 u + 5)
= 10 u + 50
15 u = 10 u + 50
15 u - 10 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Number of dragonfruits that Vaidev had
= 15 u
= 15 x 10
= 150
Answer(s): 150
