A hoodie cost $17 more than a cardigan. Anna paid $383 for 4 hoodies and 5 cardigans. How much did 1 hoodie cost?
|
Cardigans |
Hoodies |
Total |
Number |
5 |
4 |
|
Value |
1 u |
1 u + 17 |
|
Total value |
5 u |
4 u + 68 |
9 u + 68 |
Cost of 1 cardigan = 1 u
Cost of 5 cardigans = 5 u
Cost of 1 hoodie = 1 u + 17
Cost of 4 hoodies
= 4 x (1 u + 17)
= 4 u + 68
Cost of 5 cardigans and 4 hoodies
= 5 u + 4 u + 68
= 9 u + 68
9 u + 68 = 383
9 u = 383 - 68
9 u = 315
1 u = 315 ÷ 9 = 35
Cost of 1 hoodie
= 35 + 17
= $52
Answer(s): $52