Owen had a number of pomegranates. He could pack all his pomegranates equally into 10 boxes. If he packed 2 fewer pomegranates in each box, he would be able to pack all his pomegranates equally into 15 boxes. How many pomegranates did Owen have altogether?
|
15 boxes |
10 boxes |
Number |
15 |
10 |
Value |
1 u |
1 u + 2 |
Total value |
15 u |
10 u + 20 |
Number of pomegranates if they were packed into 15 boxes
= 15 x 1 u
= 15 u
Number of pomegranates if they were packed into 10 boxes
= 10(1 u + 2)
= 10 u + 20
15 u = 10 u + 20
15 u - 10 u = 20
5 u = 20
1 u = 20 ÷ 5 = 4
Number of pomegranates that Owen had
= 15 u
= 15 x 4
= 60
Answer(s): 60