A hoodie cost $2 more than a cardigan. Anna paid $172 for 5 hoodies and 4 cardigans. How much did 1 hoodie cost?
| |
Cardigans |
Hoodies |
Total |
| Number |
4 |
5 |
|
| Value |
1 u |
1 u + 2 |
|
| Total value |
4 u |
5 u + 10 |
9 u + 10 |
Cost of 1 cardigan = 1 u
Cost of 4 cardigans = 4 u
Cost of 1 hoodie = 1 u + 2
Cost of 5 hoodies
= 5 x (1 u + 2)
= 5 u + 10
Cost of 4 cardigans and 5 hoodies
= 4 u + 5 u + 10
= 9 u + 10
9 u + 10 = 172
9 u = 172 - 10
9 u = 162
1 u = 162 ÷ 9 = 18
Cost of 1 hoodie
= 18 + 2
= $20
Answer(s): $20
