Vanessa bought 8 shortbreads more than croissants. Each shortbread cost $0.50 while each croissant cost $1.80. Given that she spent $25.90 less on the shortbreads than on the croissants, how many shortbreads did Vanessa buy?
| |
Croissants |
Shortbreads |
Difference |
| Number |
1 u |
1 u + 8 |
|
| Value |
1.80 |
0.50 |
|
| Total value |
1.8 u |
0.5 u + 4 |
1.3 u - 4 |
Amount that Vanessa paid for the croissants
= 1 u x 1.8
= 1.8 u
Amount that Vanessa paid for the shortbreads
= 0.5 x (1 u + 8)
= 0.5 u + 4
Amount that Vanessa paid less on the shortbreads than the croissants
= 1.8 u - (0.5 u + 4)
= 1.8 u - 0.5 u - 4
= 1.3 u - 4
1.3 u - 4 = 25.90
1.3 u = 25.90 + 4
1.3 u = 29.9
1 u = 29.9 ÷ 1.3 = 23
Number of shortbreads that Vanessa bought
= 1 u + 8
= 23 + 8
= 31
Answer(s): 31
