A hoodie cost $19 more than a cardigan. Anna paid $122 for 3 hoodies and 2 cardigans. How much did 1 hoodie cost?
| |
Cardigans |
Hoodies |
Total |
| Number |
2 |
3 |
|
| Value |
1 u |
1 u + 19 |
|
| Total value |
2 u |
3 u + 57 |
5 u + 57 |
Cost of 1 cardigan = 1 u
Cost of 2 cardigans = 2 u
Cost of 1 hoodie = 1 u + 19
Cost of 3 hoodies
= 3 x (1 u + 19)
= 3 u + 57
Cost of 2 cardigans and 3 hoodies
= 2 u + 3 u + 57
= 5 u + 57
5 u + 57 = 122
5 u = 122 - 57
5 u = 65
1 u = 65 ÷ 5 = 13
Cost of 1 hoodie
= 13 + 19
= $32
Answer(s): $32
