Sam had a number of mangosteens. He could pack all his mangosteens equally into 30 boxes. If he packed 2 fewer mangosteens in each box, he would be able to pack all his mangosteens equally into 35 boxes. How many mangosteens did Sam have altogether?
| |
35 boxes |
30 boxes |
| Number |
35 |
30 |
| Value |
1 u |
1 u + 2 |
| Total value |
35 u |
30 u + 60 |
Number of mangosteens if they were packed into 35 boxes
= 35 x 1 u
= 35 u
Number of mangosteens if they were packed into 30 boxes
= 30(1 u + 2)
= 30 u + 60
35 u = 30 u + 60
35 u - 30 u = 60
5 u = 60
1 u = 60 ÷ 5 = 12
Number of mangosteens that Sam had
= 35 u
= 35 x 12
= 420
Answer(s): 420
