Min bought 4 shortbreads more than cupcakes. Each shortbread cost $0.70 while each cupcake cost $1.30. Given that she spent $25.40 less on the shortbreads than on the cupcakes, how many shortbreads did Min buy?
| |
Cupcakes |
Shortbreads |
Difference |
| Number |
1 u |
1 u + 4 |
|
| Value |
1.30 |
0.70 |
|
| Total value |
1.3 u |
0.7 u + 2.8 |
0.6 u - 2.8 |
Amount that Min paid for the cupcakes
= 1 u x 1.3
= 1.3 u
Amount that Min paid for the shortbreads
= 0.7 x (1 u + 4)
= 0.7 u + 2.8
Amount that Min paid less on the shortbreads than the cupcakes
= 1.3 u - (0.7 u + 2.8)
= 1.3 u - 0.7 u - 2.8
= 0.6 u - 2.8
0.6 u - 2.8 = 25.40
0.6 u = 25.40 + 2.8
0.6 u = 28.2
1 u = 28.2 ÷ 0.6 = 47
Number of shortbreads that Min bought
= 1 u + 4
= 47 + 4
= 51
Answer(s): 51
