A hoodie cost $3 more than a cardigan. Anna paid $116 for 2 hoodies and 3 cardigans. How much did 1 hoodie cost?
|
Cardigans |
Hoodies |
Total |
Number |
3 |
2 |
|
Value |
1 u |
1 u + 3 |
|
Total value |
3 u |
2 u + 6 |
5 u + 6 |
Cost of 1 cardigan = 1 u
Cost of 3 cardigans = 3 u
Cost of 1 hoodie = 1 u + 3
Cost of 2 hoodies
= 2 x (1 u + 3)
= 2 u + 6
Cost of 3 cardigans and 2 hoodies
= 3 u + 2 u + 6
= 5 u + 6
5 u + 6 = 116
5 u = 116 - 6
5 u = 110
1 u = 110 ÷ 5 = 22
Cost of 1 hoodie
= 22 + 3
= $25
Answer(s): $25