Mr Zane sold some persimmons, apples and oranges. The ratio of the number of persimmons sold to the total number of fruits sold was 2 : 9. The ratio of the number of apples sold to the number of oranges sold was 5 : 9. He sold 45 more oranges than persimmons. Find the total number of fruits that he sold.
Persimmons |
Apples |
Oranges |
Total |
2x2 |
7x2 |
9x2 |
|
5 |
9 |
|
4 u |
5 u |
9 u |
18 u |
The total number of apples and oranges is repeated. Make the total number of apples and oranges the same. LCM of 7 and 14 is 14.
Number of more oranges than persimmons
= 9 u - 4 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of fruits that Mr Zane sold
= 18 u
= 18 x 9
= 162
Answer(s): 162