Mary bought 8 croissants more than cookies. Each croissant cost $0.90 while each cookie cost $1.70. Given that she spent $26.40 less on the croissants than on the cookies, how many croissants did Mary buy?
| |
Cookies |
Croissants |
Difference |
| Number |
1 u |
1 u + 8 |
|
| Value |
1.70 |
0.90 |
|
| Total value |
1.7 u |
0.9 u + 7.2 |
0.8 u - 7.2 |
Amount that Mary paid for the cookies
= 1 u x 1.7
= 1.7 u
Amount that Mary paid for the croissants
= 0.9 x (1 u + 8)
= 0.9 u + 7.2
Amount that Mary paid less on the croissants than the cookies
= 1.7 u - (0.9 u + 7.2)
= 1.7 u - 0.9 u - 7.2
= 0.8 u - 7.2
0.8 u - 7.2 = 26.40
0.8 u = 26.40 + 7.2
0.8 u = 33.6
1 u = 33.6 ÷ 0.8 = 42
Number of croissants that Mary bought
= 1 u + 8
= 42 + 8
= 50
Answer(s): 50
