Marion bought 9 puffs more than cupcakes. Each puff cost $0.60 while each cupcake cost $1.50. Given that she spent $25.20 less on the puffs than on the cupcakes, how many puffs did Marion buy?
| |
Cupcakes |
Puffs |
Difference |
| Number |
1 u |
1 u + 9 |
|
| Value |
1.50 |
0.60 |
|
| Total value |
1.5 u |
0.6 u + 5.4 |
0.9 u - 5.4 |
Amount that Marion paid for the cupcakes
= 1 u x 1.5
= 1.5 u
Amount that Marion paid for the puffs
= 0.6 x (1 u + 9)
= 0.6 u + 5.4
Amount that Marion paid less on the puffs than the cupcakes
= 1.5 u - (0.6 u + 5.4)
= 1.5 u - 0.6 u - 5.4
= 0.9 u - 5.4
0.9 u - 5.4 = 25.20
0.9 u = 25.20 + 5.4
0.9 u = 30.6
1 u = 30.6 ÷ 0.9 = 34
Number of puffs that Marion bought
= 1 u + 9
= 34 + 9
= 43
Answer(s): 43
