David had 81 mangoes and 195 oranges at first. He used
49 of the mangoes and
35 of the oranges. He then bought some more oranges. In the end,
19 of the fruits he had left were mangoes. How many oranges did he buy?
|
Mangoes |
Oranges |
Total |
Before |
81 |
195 |
|
Change 1 |
- 36 |
- 117 |
|
After 1 |
45 |
78 |
|
Change 2 |
|
+ some |
|
After 2 |
1 u |
8 u |
9 u |
Number of mangoes that David used
=
49 x 81
= 36
Number of mangoes that David had left
= 81 - 36
= 45
Number of oranges that David used
=
35 x 195
= 117
Number of oranges that David had left
= 195 - 117
= 78
Fraction of the fruits left that were oranges
= 1 -
19=
89 Number of mangoes left = 1 u = 45
Number of oranges left in the end
= 8 u
= 8 x 45
= 360
Number of oranges that David bought
= 360 - 78
= 282
Answer(s): 282