A sweater cost $8 more than a cardigan. Anna paid $101 for 3 sweaters and 4 cardigans. How much did 1 sweater cost?
|
Cardigans |
Sweaters |
Total |
Number |
4 |
3 |
|
Value |
1 u |
1 u + 8 |
|
Total value |
4 u |
3 u + 24 |
7 u + 24 |
Cost of 1 cardigan = 1 u
Cost of 4 cardigans = 4 u
Cost of 1 sweater = 1 u + 8
Cost of 3 sweaters
= 3 x (1 u + 8)
= 3 u + 24
Cost of 4 cardigans and 3 sweaters
= 4 u + 3 u + 24
= 7 u + 24
7 u + 24 = 101
7 u = 101 - 24
7 u = 77
1 u = 77 ÷ 7 = 11
Cost of 1 sweater
= 11 + 8
= $19
Answer(s): $19