Ben had a number of guavas. He could pack all his guavas equally into 10 boxes. If he packed 2 fewer guavas in each box, he would be able to pack all his guavas equally into 20 boxes. How many guavas did Ben have altogether?
| |
20 boxes |
10 boxes |
| Number |
20 |
10 |
| Value |
1 u |
1 u + 2 |
| Total value |
20 u |
10 u + 20 |
Number of guavas if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of guavas if they were packed into 10 boxes
= 10(1 u + 2)
= 10 u + 20
20 u = 10 u + 20
20 u - 10 u = 20
10 u = 20
1 u = 20 ÷ 10 = 2
Number of guavas that Ben had
= 20 u
= 20 x 2
= 40
Answer(s): 40
