A hoodie cost $20 more than a cardigan. Anna paid $164 for 4 hoodies and 3 cardigans. How much did 1 hoodie cost?
| |
Cardigans |
Hoodies |
Total |
| Number |
3 |
4 |
|
| Value |
1 u |
1 u + 20 |
|
| Total value |
3 u |
4 u + 80 |
7 u + 80 |
Cost of 1 cardigan = 1 u
Cost of 3 cardigans = 3 u
Cost of 1 hoodie = 1 u + 20
Cost of 4 hoodies
= 4 x (1 u + 20)
= 4 u + 80
Cost of 3 cardigans and 4 hoodies
= 3 u + 4 u + 80
= 7 u + 80
7 u + 80 = 164
7 u = 164 - 80
7 u = 84
1 u = 84 ÷ 7 = 12
Cost of 1 hoodie
= 12 + 20
= $32
Answer(s): $32
