Bobby had a number of mangoes. He could pack all his mangoes equally into 15 boxes. If he packed 3 fewer mangoes in each box, he would be able to pack all his mangoes equally into 20 boxes. How many mangoes did Bobby have altogether?
|
20 boxes |
15 boxes |
Number |
20 |
15 |
Value |
1 u |
1 u + 3 |
Total value |
20 u |
15 u + 45 |
Number of mangoes if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of mangoes if they were packed into 15 boxes
= 15(1 u + 3)
= 15 u + 45
20 u = 15 u + 45
20 u - 15 u = 45
5 u = 45
1 u = 45 ÷ 5 = 9
Number of mangoes that Bobby had
= 20 u
= 20 x 9
= 180
Answer(s): 180