Glen had a total of 702 mangoes and lemons. He sold
25 of the lemons and bought another 38 mangoes. In the end, the number of mangoes he had was
45 the number of lemons. How many more lemons than mangoes did he have at first?
| |
Mangoes |
Lemons |
Total |
Before
|
12 u - 38
|
5x5 =
25 u |
702 |
Change |
+ 38 |
- 2x5 =
10 u |
|
| After |
|
3x5 =
15 u |
|
Comparing between
mangoes and lemons |
4x3 =
12 u |
5x3 =
15 u |
|
The number of lemons in the end is repeated. Make the number of lemons in the end the same. LCM of 3 and 5 is 15.
Total number of mangoes and lemons at first
= 12 u - 38 + 25 u
= 37 u - 38
37 u - 38 = 702
37 u = 702 + 38
37 u = 740
1 u = 740 ÷ 37 = 20
Number of more lemons than mangoes at first
= 25 u - (12 u - 38)
= 25 u - 12 u + 38
= 13 u + 38
= 13 x 20 + 38
= 260 + 38
= 298
Answer(s): 298
