Ethan had a number of guavas. He could pack all his guavas equally into 20 boxes. If he packed 2 fewer guavas in each box, he would be able to pack all his guavas equally into 30 boxes. How many guavas did Ethan have altogether?
| |
30 boxes |
20 boxes |
| Number |
30 |
20 |
| Value |
1 u |
1 u + 2 |
| Total value |
30 u |
20 u + 40 |
Number of guavas if they were packed into 30 boxes
= 30 x 1 u
= 30 u
Number of guavas if they were packed into 20 boxes
= 20(1 u + 2)
= 20 u + 40
30 u = 20 u + 40
30 u - 20 u = 40
10 u = 40
1 u = 40 ÷ 10 = 4
Number of guavas that Ethan had
= 30 u
= 30 x 4
= 120
Answer(s): 120
