Tommy had a number of persimmons. He could pack all his persimmons equally into 25 boxes. If he packed 3 fewer persimmons in each box, he would be able to pack all his persimmons equally into 30 boxes. How many persimmons did Tommy have altogether?
| |
30 boxes |
25 boxes |
| Number |
30 |
25 |
| Value |
1 u |
1 u + 3 |
| Total value |
30 u |
25 u + 75 |
Number of persimmons if they were packed into 30 boxes
= 30 x 1 u
= 30 u
Number of persimmons if they were packed into 25 boxes
= 25(1 u + 3)
= 25 u + 75
30 u = 25 u + 75
30 u - 25 u = 75
5 u = 75
1 u = 75 ÷ 5 = 15
Number of persimmons that Tommy had
= 30 u
= 30 x 15
= 450
Answer(s): 450
