Zane had a number of dragonfruits. He could pack all his dragonfruits equally into 15 boxes. If he packed 2 fewer dragonfruits in each box, he would be able to pack all his dragonfruits equally into 25 boxes. How many dragonfruits did Zane have altogether?
| |
25 boxes |
15 boxes |
| Number |
25 |
15 |
| Value |
1 u |
1 u + 2 |
| Total value |
25 u |
15 u + 30 |
Number of dragonfruits if they were packed into 25 boxes
= 25 x 1 u
= 25 u
Number of dragonfruits if they were packed into 15 boxes
= 15(1 u + 2)
= 15 u + 30
25 u = 15 u + 30
25 u - 15 u = 30
10 u = 30
1 u = 30 ÷ 10 = 3
Number of dragonfruits that Zane had
= 25 u
= 25 x 3
= 75
Answer(s): 75
