Eight hours ago, a store owner started his day with some pears and persimmons in the ratio of 7 : 2. There were 90 persimmons. Some of the pears were bought by Jen. As a result, the number of pears became
25 of the persimmons.
- How many pears did the store owner have at first?
- How many persimmons did the store owner have to sell in order to have an equal number of pears and persimmons?
|
Pears |
Persimmons |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- ? |
|
After |
2x2 = 4 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 = 90
1 u = 90 ÷ 10 = 9
Number of pears that the store owner had at first
= 35 u
= 35 x 9
= 315
(b)
Number of persimmons that the store owner had to sell to have an equal number of pears and persimmons
= 10 u - 4 u
= 6 u
= 6 x 9
= 54
Answer(s): (a) 315; (b) 54