The cost of four scarves 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? A. $4; $7
B. $5; $9
C. $6; $11
D. $7; $4

D

Cost of one scarf= $7

Cost of one hat= $4

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

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