Xandra bought 2 cupcakes more than muffins. Each cupcake cost $0.80 while each muffin cost $1.80. Given that she spent $26.40 less on the cupcakes than on the muffins, how many cupcakes did Xandra buy?
| |
Muffins |
Cupcakes |
Difference |
| Number |
1 u |
1 u + 2 |
|
| Value |
1.80 |
0.80 |
|
| Total value |
1.8 u |
0.8 u + 1.6 |
1 u - 1.6 |
Amount that Xandra paid for the muffins
= 1 u x 1.8
= 1.8 u
Amount that Xandra paid for the cupcakes
= 0.8 x (1 u + 2)
= 0.8 u + 1.6
Amount that Xandra paid less on the cupcakes than the muffins
= 1.8 u - (0.8 u + 1.6)
= 1.8 u - 0.8 u - 1.6
= 1 u - 1.6
1 u - 1.6 = 26.40
1 u = 26.40 + 1.6
1 u = 28
1 u = 28 ÷ 1 = 28
Number of cupcakes that Xandra bought
= 1 u + 2
= 28 + 2
= 30
Answer(s): 30
