Jenson had a total of 202 starfruits and oranges. He sold
34 of the oranges and bought another 22 starfruits. In the end, the number of starfruits he had was
23 the number of oranges. How many more oranges than starfruits did he have at first?
| |
Starfruits |
Oranges |
Total |
Before
|
2 u - 22
|
4x3 =
12 u |
202 |
Change |
+ 22 |
- 3x3 =
9 u |
|
| After |
|
1x3 =
3 u |
|
Comparing between
starfruits and oranges |
2x1 =
2 u |
3x1 =
3 u |
|
The number of oranges in the end is repeated. Make the number of oranges in the end the same. LCM of 1 and 3 is 3.
Total number of starfruits and oranges at first
= 2 u - 22 + 12 u
= 14 u - 22
14 u - 22 = 202
14 u = 202 + 22
14 u = 224
1 u = 224 ÷ 14 = 16
Number of more oranges than starfruits at first
= 12 u - (2 u - 22)
= 12 u - 2 u + 22
= 10 u + 22
= 10 x 16 + 22
= 160 + 22
= 182
Answer(s): 182
