Elijah had a number of dragonfruits. He could pack all his dragonfruits equally into 20 boxes. If he packed 3 fewer dragonfruits in each box, he would be able to pack all his dragonfruits equally into 25 boxes. How many dragonfruits did Elijah have altogether?
| |
25 boxes |
20 boxes |
| Number |
25 |
20 |
| Value |
1 u |
1 u + 3 |
| Total value |
25 u |
20 u + 60 |
Number of dragonfruits if they were packed into 25 boxes
= 25 x 1 u
= 25 u
Number of dragonfruits if they were packed into 20 boxes
= 20(1 u + 3)
= 20 u + 60
25 u = 20 u + 60
25 u - 20 u = 60
5 u = 60
1 u = 60 ÷ 5 = 12
Number of dragonfruits that Elijah had
= 25 u
= 25 x 12
= 300
Answer(s): 300
