Hilda baked banana, durian and cheese tarts. There were one-third as many cheese tarts as durian tarts and an equal number of cheese tarts as banana tarts. The cost of each tart is given as shown.
1 cheese tart: $1.60
1 durian tart: $1.20
1 banana tart: $1.40
If she collected $198 from selling all the tarts, how many durian tarts were there?
|
Cheese |
Durian |
Banana |
Ratio of tarts |
1 u |
3 u |
1 u |
Cost of 1 tarts |
$1.60 |
$1.20 |
$1.40 |
Total Value |
1.6 u |
3.6 u |
1.4 u |
Cheese tarts : Durian tarts : Banana tarts
1 : 3 : 1
Total amount earned from selling all the tarts
= 1.6 u + 3.6 u + 1.4 u
= 6.6 u
6.6 u = 198
1 u = 198 ÷ 6.6 = 30
Number of durian tarts
= 3 u
= 3 x 30
= 90
Answer(s): 90