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