Albert had a total of 260 passion fruits and mangoes. He sold
25 of the mangoes and bought another 39 passion fruits. In the end, the number of passion fruits he had was
12 the number of mangoes. How many more mangoes than passion fruits did he have at first?
|
Passion Fruits |
Mangoes |
Total |
Before
|
3 u - 39
|
5x2 = 10 u |
260 |
Change |
+ 39 |
- 2x2 = 4 u |
|
After |
|
3x2 = 6 u |
|
Comparing between passion fruits and mangoes |
1x3 = 3 u |
2x3 = 6 u |
|
The number of mangoes in the end is repeated. Make the number of mangoes in the end the same. LCM of 3 and 2 is 6.
Total number of passion fruits and mangoes at first
= 3 u - 39 + 10 u
= 13 u - 39
13 u - 39 = 260
13 u = 260 + 39
13 u = 299
1 u = 299 ÷ 13 = 23
Number of more mangoes than passion fruits at first
= 10 u - (3 u - 39)
= 10 u - 3 u + 39
= 7 u + 39
= 7 x 23 + 39
= 161 + 39
= 200
Answer(s): 200