Ryan had pears and mangoes. The ratio of pears to mangoes was 9 : 5. After
34 of the pears and 38 mangoes were sold, there were 9 times as many pears as mangoes left. How many pears and mangoes were sold?
| |
Pears |
Mangoes |
Comparing pears
and mangoes at first |
9x4 =
36 u |
5x4 =
20 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 38 |
| After |
1x9 =
9 u |
|
Comparing pears
and mangoes in the end |
9 u |
1 u |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 9 and 4 is 36.
Number of mangoes sold
= 20 u - 1 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Number of pears and mangoes sold
= 27 u + 38
= 27 x 2 + 38
= 54 + 38
= 92
Answer(s): 92
