Gem bought 6 shortbreads more than tarts. Each shortbread cost $0.70 while each tart cost $1.30. Given that she spent $28.20 less on the shortbreads than on the tarts, how many shortbreads did Gem buy?
| |
Tarts |
Shortbreads |
Difference |
| Number |
1 u |
1 u + 6 |
|
| Value |
1.30 |
0.70 |
|
| Total value |
1.3 u |
0.7 u + 4.2 |
0.6 u - 4.2 |
Amount that Gem paid for the tarts
= 1 u x 1.3
= 1.3 u
Amount that Gem paid for the shortbreads
= 0.7 x (1 u + 6)
= 0.7 u + 4.2
Amount that Gem paid less on the shortbreads than the tarts
= 1.3 u - (0.7 u + 4.2)
= 1.3 u - 0.7 u - 4.2
= 0.6 u - 4.2
0.6 u - 4.2 = 28.20
0.6 u = 28.20 + 4.2
0.6 u = 32.4
1 u = 32.4 ÷ 0.6 = 54
Number of shortbreads that Gem bought
= 1 u + 6
= 54 + 6
= 60
Answer(s): 60
