Reggie had mangosteens and pears. The ratio of mangosteens to pears was 7 : 6. After
34 of the mangosteens and 69 pears were sold, there were 7 times as many mangosteens as pears left. How many mangosteens and pears were sold?
| |
Mangosteens |
Pears |
Comparing mangosteens
and pears at first |
7x4 =
28 u |
6x4 =
24 u |
| Before |
4x7 =
28 u |
|
| Change |
- 3x7 =
- 21 u |
- 69 |
| After |
1x7 =
7 u |
|
Comparing mangosteens
and pears in the end |
7 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 7 and 4 is 28.
Number of pears sold
= 24 u - 1 u
= 23 u
23 u = 69
1 u = 69 ÷ 23 = 3
Number of mangosteens and pears sold
= 21 u + 69
= 21 x 3 + 69
= 63 + 69
= 132
Answer(s): 132
