Elyse bought 4 scones more than macarons. Each scone cost $0.80 while each macaron cost $1.60. Given that she spent $26.40 less on the scones than on the macarons, how many scones did Elyse buy?
| |
Macarons |
Scones |
Difference |
| Number |
1 u |
1 u + 4 |
|
| Value |
1.60 |
0.80 |
|
| Total value |
1.6 u |
0.8 u + 3.2 |
0.8 u - 3.2 |
Amount that Elyse paid for the macarons
= 1 u x 1.6
= 1.6 u
Amount that Elyse paid for the scones
= 0.8 x (1 u + 4)
= 0.8 u + 3.2
Amount that Elyse paid less on the scones than the macarons
= 1.6 u - (0.8 u + 3.2)
= 1.6 u - 0.8 u - 3.2
= 0.8 u - 3.2
0.8 u - 3.2 = 26.40
0.8 u = 26.40 + 3.2
0.8 u = 29.6
1 u = 29.6 ÷ 0.8 = 37
Number of scones that Elyse bought
= 1 u + 4
= 37 + 4
= 41
Answer(s): 41
