Anna baked coffee, durian and apple tarts. There were half as many apple tarts as durian tarts and an equal number of apple tarts as coffee tarts. The cost of each tart is given as shown.
1 apple tart: $1.30
1 durian tart: $1.50
1 coffee tart: $1.20
If she collected $286 from selling all the tarts, how many durian tarts were there?
|
Apple |
Durian |
Coffee |
Ratio of tarts |
1 u |
2 u |
1 u |
Cost of 1 tarts |
$1.30 |
$1.50 |
$1.20 |
Total Value |
1.3 u |
3 u |
1.2 u |
Apple tarts : Durian tarts : Coffee tarts
1 : 2 : 1
Total amount earned from selling all the tarts
= 1.3 u + 3 u + 1.2 u
= 5.5 u
5.5 u = 286
1 u = 286 ÷ 5.5 = 52
Number of durian tarts
= 2 u
= 2 x 52
= 104
Answer(s): 104