Neave had a number of mangoes. He could pack all his mangoes equally into 10 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 Neave have altogether?
| |
20 boxes |
10 boxes |
| Number |
20 |
10 |
| Value |
1 u |
1 u + 3 |
| Total value |
20 u |
10 u + 30 |
Number of mangoes if they were packed into 20 boxes
= 20 x 1 u
= 20 u
Number of mangoes if they were packed into 10 boxes
= 10(1 u + 3)
= 10 u + 30
20 u = 10 u + 30
20 u - 10 u = 30
10 u = 30
1 u = 30 ÷ 10 = 3
Number of mangoes that Neave had
= 20 u
= 20 x 3
= 60
Answer(s): 60
