Julie had some fruits at her stall.
38 of them were oranges,
13 of the remainder were coconuts and the rest were dates. The amounts earned for each orange, each coconut and each date sold are $1.70, $1.20 and $1.40 respectively. The number of oranges sold to the number of coconuts sold to the number of dates sold was 4 : 2 : 3. In total, she sold
16 of the fruits and earned $107.20. How many oranges did she have at first?
| Oranges |
Coconuts |
Dates |
Total |
| 3x3 |
5x3 |
8x3 |
| |
1x5 |
2x5 |
|
| 9 p |
5 p |
10 p |
24 p |
The total number of coconuts and dates is repeated. Make the total number of coconuts and dates the same. LCM of 5 and 3 is 15.
| |
Oranges |
Coconuts |
Dates |
| Number |
4 u |
2 u |
3 u |
| Value |
$1.70 |
$1.20 |
$1.40 |
| Total value |
6.8 u |
2.4 u |
4.2 u |
Total amount that Julie earned
= 6.8 u + 2.4 u + 4.2 u
= 13.4 u
13.4 u = 107.20
1 u = 107.20 ÷ 13.4 = 8
Total number of fruits sold
= 4 u + 2 u + 3 u
= 9 u
= 9 x 8
= 72
Total number of fruits at first
= 72 ÷
16= 72 x 6
= 432
Total number of fruits at first
= 9 p + 5 p + 10 p
= 24 p
24 p = 432
1 p = 432 ÷ 24 = 18
Number of oranges that Julie had at first
= 9 p
= 9 x 18
= 162
Answer(s): 162
