Four hours ago, a stallholder started his day with some oranges and persimmons in the ratio of 7 : 2. There were 50 persimmons. Some of the oranges were bought by Raeann. As a result, the number of oranges became
45 of the persimmons.
- How many oranges did the stallholder have at first?
- How many persimmons did the stallholder have to sell in order to have an equal number of oranges and persimmons?
|
Oranges |
Persimmons |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- ? |
|
After |
4x2 = 8 u |
5x2 = 10 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 2 and 5 is 10.
10 u = 50
1 u = 50 ÷ 10 = 5
Number of oranges that the stallholder had at first
= 35 u
= 35 x 5
= 175
(b)
Number of persimmons that the stallholder had to sell to have an equal number of oranges and persimmons
= 10 u - 8 u
= 2 u
= 2 x 5
= 10
Answer(s): (a) 175; (b) 10