Posted by **Jane** on Thursday, February 21, 2013 at 11:27am.

The cost of 4 scarves and 6 hats is $52. The cost of two hats is $1 more than the cost of one scarf. What are the costs of one scarf and one hat?

Please show me how to set this up and work it.

- Algebra I -
**Steve**, Thursday, February 21, 2013 at 11:56am
4s+6h = 52

2h = 1+1s

so, now we know that

6h = 3+3s, so

4s+6h = 4s + 3+3s = 7s+3, and

7s+3=52

7s=49

s=7

so, 2h=1+s = 1+7 = 8, and

h=4

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