The cost of four scarves and six hats is $52.00. The cost of two hats is $1 more than the cost of the one scarf. What is the cast of one scarf?

Question

The cost of 4 scarves and 6 hats is $52. The cost of 2 hats is $1 more than the cost of one scarf. What is the cost of the scarf?

Answer 1

S=scarves, H=hats. 4S+6H=52, so 2S+3H=26; 2H=S+1, so S=2H-1.

Therefore, 2(2H-1)+3H=26; 4H-2+3H=26; 7H=28, H=$4, and S=2*4-1=$7.

The scarf costs $7.