Six hours ago, a store owner started his day with some apples and mangosteens in the ratio of 8 : 7. There were 336 mangosteens. Some of the apples were bought by Erika. As a result, the number of apples became
34 of the mangosteens.
- How many apples did the store owner have at first?
- How many mangosteens did the store owner have to sell in order to have an equal number of apples and mangosteens?
|
Apples |
Mangosteens |
Before |
8x4 = 32 u |
7x4 = 28 u |
Change |
- ? |
|
After |
3x7 = 21 u |
4x7 = 28 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 7 and 4 is 28.
28 u = 336
1 u = 336 ÷ 28 = 12
Number of apples that the store owner had at first
= 32 u
= 32 x 12
= 384
(b)
Number of mangosteens that the store owner had to sell to have an equal number of apples and mangosteens
= 28 u - 21 u
= 7 u
= 7 x 12
= 84
Answer(s): (a) 384; (b) 84