Asher had a total of 464 chikoos and pomegranates. He sold
25 of the pomegranates and bought another 29 chikoos. In the end, the number of chikoos he had was
34 the number of pomegranates. How many more pomegranates than chikoos did he have at first?
| |
Chikoos |
Pomegranates |
Total |
Before
|
9 u - 29
|
5x4 =
20 u |
464 |
Change |
+ 29 |
- 2x4 =
8 u |
|
| After |
|
3x4 =
12 u |
|
Comparing between
chikoos and pomegranates |
3x3 =
9 u |
4x3 =
12 u |
|
The number of pomegranates in the end is repeated. Make the number of pomegranates in the end the same. LCM of 3 and 4 is 12.
Total number of chikoos and pomegranates at first
= 9 u - 29 + 20 u
= 29 u - 29
29 u - 29 = 464
29 u = 464 + 29
29 u = 493
1 u = 493 ÷ 29 = 17
Number of more pomegranates than chikoos at first
= 20 u - (9 u - 29)
= 20 u - 9 u + 29
= 11 u + 29
= 11 x 17 + 29
= 187 + 29
= 216
Answer(s): 216
