Julie baked banana, apple and durian cupcakes. There were one-fifth as many durian cupcakes as apple cupcakes and an equal number of durian cupcakes as banana cupcakes. The cost of each cupcake is given as shown.
1 durian cupcake: $1.20
1 apple cupcake: $1.90
1 banana cupcake: $1.10
If she collected $177 from selling all the cupcakes, how many apple cupcakes were there?
|
Durian |
Apple |
Banana |
Ratio of cupcakes |
1 u |
5 u |
1 u |
Cost of 1 cupcakes |
$1.20 |
$1.90 |
$1.10 |
Total Value |
1.2 u |
9.5 u |
1.1 u |
Durian cupcakes : Apple cupcakes : Banana cupcakes
1 : 5 : 1
Total amount earned from selling all the cupcakes
= 1.2 u + 9.5 u + 1.1 u
= 11.8 u
11.8 u = 177
1 u = 177 ÷ 11.8 = 15
Number of apple cupcakes
= 5 u
= 5 x 15
= 75
Answer(s): 75