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Leona [35]
3 years ago
6

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 o

ne scarf and one hat?
Mathematics
2 answers:
timurjin [86]3 years ago
8 0
Four scarves and six hats is $52.00 
<span>4s+6h=52 </span>

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

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

<span>s=2h-1 </span>
<span>s=8-1 </span>
<span>s=7 </span>

<span>a scarf cost $7 </span>
<span>a hat cost $4</span>
WINSTONCH [101]3 years ago
7 0

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

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