A sweater cost $13 more than a cardigan. Anna paid $280 for 4 sweaters and 2 cardigans. How much did 1 sweater cost?
| |
Cardigans |
Sweaters |
Total |
| Number |
2 |
4 |
|
| Value |
1 u |
1 u + 13 |
|
| Total value |
2 u |
4 u + 52 |
6 u + 52 |
Cost of 1 cardigan = 1 u
Cost of 2 cardigans = 2 u
Cost of 1 sweater = 1 u + 13
Cost of 4 sweaters
= 4 x (1 u + 13)
= 4 u + 52
Cost of 2 cardigans and 4 sweaters
= 2 u + 4 u + 52
= 6 u + 52
6 u + 52 = 280
6 u = 280 - 52
6 u = 228
1 u = 228 ÷ 6 = 38
Cost of 1 sweater
= 38 + 13
= $51
Answer(s): $51
