Rael had mangosteens and persimmons. The ratio of mangosteens to persimmons was 6 : 5. After
45 of the mangosteens and 240 persimmons were sold, there were 6 times as many mangosteens as persimmons left. How many mangosteens and persimmons were there at first?
| |
Mangosteens |
Persimmons |
Comparing mangosteens
and persimmons at first |
6x5 =
30 u |
5x5 =
25 u |
| Before |
5x6 =
30 u |
|
| Change |
- 4x6 =
- 24 u |
- 240 |
| After |
1x6 =
6 u |
|
Comparing mangosteens
and persimmons in the end |
6 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 6 and 5 is 30.
Number of persimmons sold
= 25 u - 1 u
= 24 u
24 u = 240
1 u = 240 ÷ 24 = 10
Number of mangosteens and persimmons at first
= 30 u + 25 u
= 55 u
= 55 x 10
= 550
Answer(s): 550
