Esther bought 5 scones more than croissants. Each scone cost $0.70 while each croissant cost $1.60. Given that she spent $27.10 less on the scones than on the croissants, how many scones did Esther buy?
| |
Croissants |
Scones |
Difference |
| Number |
1 u |
1 u + 5 |
|
| Value |
1.60 |
0.70 |
|
| Total value |
1.6 u |
0.7 u + 3.5 |
0.9 u - 3.5 |
Amount that Esther paid for the croissants
= 1 u x 1.6
= 1.6 u
Amount that Esther paid for the scones
= 0.7 x (1 u + 5)
= 0.7 u + 3.5
Amount that Esther paid less on the scones than the croissants
= 1.6 u - (0.7 u + 3.5)
= 1.6 u - 0.7 u - 3.5
= 0.9 u - 3.5
0.9 u - 3.5 = 27.10
0.9 u = 27.10 + 3.5
0.9 u = 30.6
1 u = 30.6 ÷ 0.9 = 34
Number of scones that Esther bought
= 1 u + 5
= 34 + 5
= 39
Answer(s): 39
