Irene baked coffee, durian and apple cupcakes. There were one-quarter as many apple cupcakes as durian cupcakes and an equal number of apple cupcakes as coffee cupcakes. The cost of each cupcake is given as shown.
1 apple cupcake: $1.50
1 durian cupcake: $1.60
1 coffee cupcake: $1.80
If she collected $194 from selling all the cupcakes, how many durian cupcakes were there?
|
Apple |
Durian |
Coffee |
Ratio of cupcakes |
1 u |
4 u |
1 u |
Cost of 1 cupcakes |
$1.50 |
$1.60 |
$1.80 |
Total Value |
1.5 u |
6.4 u |
1.8 u |
Apple cupcakes : Durian cupcakes : Coffee cupcakes
1 : 4 : 1
Total amount earned from selling all the cupcakes
= 1.5 u + 6.4 u + 1.8 u
= 9.7 u
9.7 u = 194
1 u = 194 ÷ 9.7 = 20
Number of durian cupcakes
= 4 u
= 4 x 20
= 80
Answer(s): 80