Glen had a total of 114 pomegranates and mangoes. He sold
34 of the mangoes and bought another 29 pomegranates. In the end, the number of pomegranates he had was
13 the number of mangoes. How many more mangoes than pomegranates did he have at first?
| |
Pomegranates |
Mangoes |
Total |
Before
|
1 u - 29
|
4x3 =
12 u |
114 |
Change |
+ 29 |
- 3x3 =
9 u |
|
| After |
|
1x3 =
3 u |
|
Comparing between
pomegranates and mangoes |
1x1 =
1 u |
3x1 =
3 u |
|
The number of mangoes in the end is repeated. Make the number of mangoes in the end the same. LCM of 1 and 3 is 3.
Total number of pomegranates and mangoes at first
= 1 u - 29 + 12 u
= 13 u - 29
13 u - 29 = 114
13 u = 114 + 29
13 u = 143
1 u = 143 ÷ 13 = 11
Number of more mangoes than pomegranates at first
= 12 u - (1 u - 29)
= 12 u - 1 u + 29
= 11 u + 29
= 11 x 11 + 29
= 121 + 29
= 150
Answer(s): 150
