A sweater cost $8 more than a cardigan. Anna paid $306 for 5 sweaters and 2 cardigans. How much did 1 sweater cost?
| |
Cardigans |
Sweaters |
Total |
| Number |
2 |
5 |
|
| Value |
1 u |
1 u + 8 |
|
| Total value |
2 u |
5 u + 40 |
7 u + 40 |
Cost of 1 cardigan = 1 u
Cost of 2 cardigans = 2 u
Cost of 1 sweater = 1 u + 8
Cost of 5 sweaters
= 5 x (1 u + 8)
= 5 u + 40
Cost of 2 cardigans and 5 sweaters
= 2 u + 5 u + 40
= 7 u + 40
7 u + 40 = 306
7 u = 306 - 40
7 u = 266
1 u = 266 ÷ 7 = 38
Cost of 1 sweater
= 38 + 8
= $46
Answer(s): $46
