Jade bought 5 wafers more than cupcakes. Each wafer cost $0.90 while each cupcake cost $1.70. Given that she spent $26.70 less on the wafers than on the cupcakes, how many wafers did Jade buy?
| |
Cupcakes |
Wafers |
Difference |
| Number |
1 u |
1 u + 5 |
|
| Value |
1.70 |
0.90 |
|
| Total value |
1.7 u |
0.9 u + 4.5 |
0.8 u - 4.5 |
Amount that Jade paid for the cupcakes
= 1 u x 1.7
= 1.7 u
Amount that Jade paid for the wafers
= 0.9 x (1 u + 5)
= 0.9 u + 4.5
Amount that Jade paid less on the wafers than the cupcakes
= 1.7 u - (0.9 u + 4.5)
= 1.7 u - 0.9 u - 4.5
= 0.8 u - 4.5
0.8 u - 4.5 = 26.70
0.8 u = 26.70 + 4.5
0.8 u = 31.2
1 u = 31.2 ÷ 0.8 = 39
Number of wafers that Jade bought
= 1 u + 5
= 39 + 5
= 44
Answer(s): 44
