Lucy bought 6 puffs more than shortbreads. Each puff cost $0.80 while each shortbread cost $2.60. Given that she spent $28.60 in total, how many shortbreads did Lucy buy?
| |
Shortbreads |
Puffs |
Total |
| Number |
1 u |
1 u + 6 |
|
| Value |
$2.60 |
$0.80 |
|
| Total value |
2.6 u |
0.8 u + 4.8 |
0.8 u + 4.8 |
Amount that Lucy paid for the shortbreads
= 1 u x 2.60
= 2.6 u
Amount that Lucy paid for puffs
= 0.8 x (1 u + 6)
= 0.8 u + 4.8
Total amount that Lucy paid
= 2.6 u + 0.8 u + 4.8
= 3.4 u + 4.8
3.4 u + 4.8 = 28.6
3.4 u = 28.6 - 4.8
3.4 u = 23.8
1 u = 23.8 ÷ 3.4 = 7
Number of shortbreads that Lucy bought
= 1 u
= 7
Answer(s): 7
