Mark had a number of persimmons. He could pack all his persimmons equally into 15 boxes. If he packed 5 fewer persimmons in each box, he would be able to pack all his persimmons equally into 20 boxes. How many persimmons did Mark have altogether?
| |
20 boxes |
15 boxes |
| Number |
20 |
15 |
| Value |
1 u |
1 u + 5 |
| Total value |
20 u |
15 u + 75 |
Number of persimmons if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of persimmons if they were packed into 15 boxes
= 15(1 u + 5)
= 15 u + 75
20 u = 15 u + 75
20 u - 15 u = 75
5 u = 75
1 u = 75 ÷ 5 = 15
Number of persimmons that Mark had
= 20 u
= 20 x 15
= 300
Answer(s): 300
