Charlie had a number of starfruits. He could pack all his starfruits equally into 20 boxes. If he packed 5 fewer starfruits in each box, he would be able to pack all his starfruits equally into 25 boxes. How many starfruits did Charlie have altogether?
| |
25 boxes |
20 boxes |
| Number |
25 |
20 |
| Value |
1 u |
1 u + 5 |
| Total value |
25 u |
20 u + 100 |
Number of starfruits if they were packed into 25 boxes
= 25 x 1 u
= 25 u
Number of starfruits if they were packed into 20 boxes
= 20(1 u + 5)
= 20 u + 100
25 u = 20 u + 100
25 u - 20 u = 100
5 u = 100
1 u = 100 ÷ 5 = 20
Number of starfruits that Charlie had
= 25 u
= 25 x 20
= 500
Answer(s): 500
