Liam had a number of mangoes. He could pack all his mangoes equally into 25 boxes. If he packed 2 fewer mangoes in each box, he would be able to pack all his mangoes equally into 35 boxes. How many mangoes did Liam have altogether?
| |
35 boxes |
25 boxes |
| Number |
35 |
25 |
| Value |
1 u |
1 u + 2 |
| Total value |
35 u |
25 u + 50 |
Number of mangoes if they were packed into 35 boxes
= 35 x 1 u
= 35 u
Number of mangoes if they were packed into 25 boxes
= 25(1 u + 2)
= 25 u + 50
35 u = 25 u + 50
35 u - 25 u = 50
10 u = 50
1 u = 50 ÷ 10 = 5
Number of mangoes that Liam had
= 35 u
= 35 x 5
= 175
Answer(s): 175
