Yoko baked durian, banana and apple shortbreads. There were one-third as many apple shortbreads as banana shortbreads and an equal number of apple shortbreads as durian shortbreads. The cost of each shortbread is given as shown.
1 apple shortbread: $1.70
1 banana shortbread: $1.40
1 durian shortbread: $1.10
If she collected $217 from selling all the shortbreads, how many banana shortbreads were there?
|
Apple |
Banana |
Durian |
Ratio of shortbreads |
1 u |
3 u |
1 u |
Cost of 1 shortbreads |
$1.70 |
$1.40 |
$1.10 |
Total Value |
1.7 u |
4.2 u |
1.1 u |
Apple shortbreads : Banana shortbreads : Durian shortbreads
1 : 3 : 1
Total amount earned from selling all the shortbreads
= 1.7 u + 4.2 u + 1.1 u
= 7 u
7 u = 217
1 u = 217 ÷ 7 = 31
Number of banana shortbreads
= 3 u
= 3 x 31
= 93
Answer(s): 93