Paul had a number of starfruits. He could pack all his starfruits equally into 10 boxes. If he packed 3 fewer starfruits in each box, he would be able to pack all his starfruits equally into 15 boxes. How many starfruits did Paul have altogether?
| |
15 boxes |
10 boxes |
| Number |
15 |
10 |
| Value |
1 u |
1 u + 3 |
| Total value |
15 u |
10 u + 30 |
Number of starfruits if they were packed into 15 boxes
= 15 x 1 u
= 15 u
Number of starfruits if they were packed into 10 boxes
= 10(1 u + 3)
= 10 u + 30
15 u = 10 u + 30
15 u - 10 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of starfruits that Paul had
= 15 u
= 15 x 6
= 90
Answer(s): 90
