Elyse bought 4 cookies more than shortbreads. Each cookie cost $1.10 while each shortbread cost $2.30. Given that she spent $28.20 in total, how many shortbreads did Elyse buy?
| |
Shortbreads |
Cookies |
Total |
| Number |
1 u |
1 u + 4 |
|
| Value |
$2.30 |
$1.10 |
|
| Total value |
2.3 u |
1.1 u + 4.4 |
1.1 u + 4.4 |
Amount that Elyse paid for the shortbreads
= 1 u x 2.30
= 2.3 u
Amount that Elyse paid for cookies
= 1.1 x (1 u + 4)
= 1.1 u + 4.4
Total amount that Elyse paid
= 2.3 u + 1.1 u + 4.4
= 3.4 u + 4.4
3.4 u + 4.4 = 28.2
3.4 u = 28.2 - 4.4
3.4 u = 23.8
1 u = 23.8 ÷ 3.4 = 7
Number of shortbreads that Elyse bought
= 1 u
= 7
Answer(s): 7
