Will had a number of mangosteens. He could pack all his mangosteens equally into 10 boxes. If he packed 5 fewer mangosteens in each box, he would be able to pack all his mangosteens equally into 20 boxes. How many mangosteens did Will have altogether?
| |
20 boxes |
10 boxes |
| Number |
20 |
10 |
| Value |
1 u |
1 u + 5 |
| Total value |
20 u |
10 u + 50 |
Number of mangosteens if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of mangosteens if they were packed into 10 boxes
= 10(1 u + 5)
= 10 u + 50
20 u = 10 u + 50
20 u - 10 u = 50
10 u = 50
1 u = 50 ÷ 10 = 5
Number of mangosteens that Will had
= 20 u
= 20 x 5
= 100
Answer(s): 100
