Xuan bought 6 croissants more than cupcakes. Each croissant cost $0.70 while each cupcake cost $1.50. Given that she spent $27.80 less on the croissants than on the cupcakes, how many croissants did Xuan buy?
| |
Cupcakes |
Croissants |
Difference |
| Number |
1 u |
1 u + 6 |
|
| Value |
1.50 |
0.70 |
|
| Total value |
1.5 u |
0.7 u + 4.2 |
0.8 u - 4.2 |
Amount that Xuan paid for the cupcakes
= 1 u x 1.5
= 1.5 u
Amount that Xuan paid for the croissants
= 0.7 x (1 u + 6)
= 0.7 u + 4.2
Amount that Xuan paid less on the croissants than the cupcakes
= 1.5 u - (0.7 u + 4.2)
= 1.5 u - 0.7 u - 4.2
= 0.8 u - 4.2
0.8 u - 4.2 = 27.80
0.8 u = 27.80 + 4.2
0.8 u = 32
1 u = 32 ÷ 0.8 = 40
Number of croissants that Xuan bought
= 1 u + 6
= 40 + 6
= 46
Answer(s): 46
