Wesley had a total of 398 mangosteens and apples. He sold
14 of the apples and bought another 20 mangosteens. In the end, the number of mangosteens he had was
14 the number of apples. How many more apples than mangosteens did he have at first?
| |
Mangosteens |
Apples |
Total |
Before
|
3 u - 20
|
4x4 =
16 u |
398 |
Change |
+ 20 |
- 1x4 =
4 u |
|
| After |
|
3x4 =
12 u |
|
Comparing between
mangosteens and apples |
1x3 =
3 u |
4x3 =
12 u |
|
The number of apples in the end is repeated. Make the number of apples in the end the same. LCM of 3 and 4 is 12.
Total number of mangosteens and apples at first
= 3 u - 20 + 16 u
= 19 u - 20
19 u - 20 = 398
19 u = 398 + 20
19 u = 418
1 u = 418 ÷ 19 = 22
Number of more apples than mangosteens at first
= 16 u - (3 u - 20)
= 16 u - 3 u + 20
= 13 u + 20
= 13 x 22 + 20
= 286 + 20
= 306
Answer(s): 306
