Hazel bought 4 shortbreads more than cupcakes. Each shortbread cost $0.60 while each cupcake cost $1.70. Given that she spent $25.10 less on the shortbreads than on the cupcakes, how many shortbreads did Hazel buy?
| |
Cupcakes |
Shortbreads |
Difference |
| Number |
1 u |
1 u + 4 |
|
| Value |
1.70 |
0.60 |
|
| Total value |
1.7 u |
0.6 u + 2.4 |
1.1 u - 2.4 |
Amount that Hazel paid for the cupcakes
= 1 u x 1.7
= 1.7 u
Amount that Hazel paid for the shortbreads
= 0.6 x (1 u + 4)
= 0.6 u + 2.4
Amount that Hazel paid less on the shortbreads than the cupcakes
= 1.7 u - (0.6 u + 2.4)
= 1.7 u - 0.6 u - 2.4
= 1.1 u - 2.4
1.1 u - 2.4 = 25.10
1.1 u = 25.10 + 2.4
1.1 u = 27.5
1 u = 27.5 ÷ 1.1 = 25
Number of shortbreads that Hazel bought
= 1 u + 4
= 25 + 4
= 29
Answer(s): 29
