Jen baked strawberry, durian and coffee shortbreads. There were one-quarter as many coffee shortbreads as durian shortbreads and an equal number of coffee shortbreads as strawberry shortbreads. The cost of each shortbread is given as shown.
1 coffee shortbread: $1.70
1 durian shortbread: $1.20
1 strawberry shortbread: $1.50
If she collected $272 from selling all the shortbreads, how many durian shortbreads were there?
|
Coffee |
Durian |
Strawberry |
Ratio of shortbreads |
1 u |
4 u |
1 u |
Cost of 1 shortbreads |
$1.70 |
$1.20 |
$1.50 |
Total Value |
1.7 u |
4.8 u |
1.5 u |
Coffee shortbreads : Durian shortbreads : Strawberry shortbreads
1 : 4 : 1
Total amount earned from selling all the shortbreads
= 1.7 u + 4.8 u + 1.5 u
= 8 u
8 u = 272
1 u = 272 ÷ 8 = 34
Number of durian shortbreads
= 4 u
= 4 x 34
= 136
Answer(s): 136