Zeph had a total of 181 apples and mangosteens. He sold
13 of the mangosteens and bought another 23 apples. In the end, the number of apples he had was
15 the number of mangosteens. How many more mangosteens than apples did he have at first?
| |
Apples |
Mangosteens |
Total |
Before
|
2 u - 23
|
3x5 =
15 u |
181 |
Change |
+ 23 |
- 1x5 =
5 u |
|
| After |
|
2x5 =
10 u |
|
Comparing between
apples and mangosteens |
1x2 =
2 u |
5x2 =
10 u |
|
The number of mangosteens in the end is repeated. Make the number of mangosteens in the end the same. LCM of 2 and 5 is 10.
Total number of apples and mangosteens at first
= 2 u - 23 + 15 u
= 17 u - 23
17 u - 23 = 181
17 u = 181 + 23
17 u = 204
1 u = 204 ÷ 17 = 12
Number of more mangosteens than apples at first
= 15 u - (2 u - 23)
= 15 u - 2 u + 23
= 13 u + 23
= 13 x 12 + 23
= 156 + 23
= 179
Answer(s): 179
