Mr Liam sold some pomegranates, kiwis and mangoes. The ratio of the number of pomegranates sold to the total number of fruits sold was 2 : 7. The ratio of the number of kiwis sold to the number of mangoes sold was 2 : 13. He sold 28 more mangoes than pomegranates. Find the total number of fruits that he sold.
| Pomegranates |
Kiwis |
Mangoes |
Total |
| 2x3 |
5x3 |
7x3 |
| |
2 |
13 |
|
| 6 u |
2 u |
13 u |
21 u |
The total number of kiwis and mangoes is repeated. Make the total number of kiwis and mangoes the same. LCM of 5 and 15 is 15.
Number of more mangoes than pomegranates
= 13 u - 6 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Total number of fruits that Mr Liam sold
= 21 u
= 21 x 4
= 84
Answer(s): 84
