Question

The cost of four scarfs and six 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?

Answer 1

Four scarves and six hats is $52.00 
4s+6h=52 

two hats is $1.00 more than the cost of one scarf. 
2h=1s+1 
2h=s+1 
s=2h-1 

substitute for s 
4s+6h=52 
4(2h-1)+6h=52 
8h-4+6h=52 
14h=56 
h=4 

s=2h-1 
s=8-1 
s=7 

a scarf cost $7 
a hat cost $4

Answer 2

Answer with Step-by-step explanation:

Let s represents the cost of scarfs

and h represents the cost of hats.

Cost of four scarfs and six hats is $52.00 

i.e. 4s+6h=52 

Cost of two hats is $1.00 more than the cost of one scarf. 

i.e. 2h=s+1 

s=2h-1 

substituting s in 4s+6h=52 

4(2h-1)+6h=52 

8h-4+6h=52 

14h=56 

h=4 

s=2h-1 

s=8-1 

s=7 

Hence,

Cost of one scarf= $7 

and Cost of one hat= $4