Zane had mangosteens and pears. The ratio of mangosteens to pears was 8 : 3. After
12 of the mangosteens and 14 pears were sold, there were 4 times as many mangosteens as pears left. How many mangosteens and pears were sold?
| |
Mangosteens |
Pears |
Comparing mangosteens
and pears at first |
8x1 =
8 u |
3x1 =
3 u |
| Before |
2x4 =
8 u |
|
| Change |
- 1x4 =
- 4 u |
- 14 |
| After |
1x4 =
4 u |
|
Comparing mangosteens
and pears in the end |
4 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 8 and 2 is 8.
Number of pears sold
= 3 u - 1 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of mangosteens and pears sold
= 4 u + 14
= 4 x 7 + 14
= 28 + 14
= 42
Answer(s): 42
