Respuesta :
The cost of one scarf is $4.60.
Let S be the cost of one scarf and H be the cost of one hat. Our first equation will be 4S+6H=52, since the cost of 4 scarves and 6 hats is 52.
Our second equation will be H=S+1, since the cost of one hat is one dollar more than the cost of 1 scarf.
We will use substitution to solve this; substitute S+1 from the second equation into H on the first one:
4S+6(S+1)=52.
Use the distributive property:
4S+6*S+6*1=52
4S+6S+6=52.
Combine like terms:
10S+6=52.
Subtract 6 from both sides:
10S+6-6=52-6
10S=46.
Divide both sides by 10:
10S/10 = 46/10
S = 4.60.
Let S be the cost of one scarf and H be the cost of one hat. Our first equation will be 4S+6H=52, since the cost of 4 scarves and 6 hats is 52.
Our second equation will be H=S+1, since the cost of one hat is one dollar more than the cost of 1 scarf.
We will use substitution to solve this; substitute S+1 from the second equation into H on the first one:
4S+6(S+1)=52.
Use the distributive property:
4S+6*S+6*1=52
4S+6S+6=52.
Combine like terms:
10S+6=52.
Subtract 6 from both sides:
10S+6-6=52-6
10S=46.
Divide both sides by 10:
10S/10 = 46/10
S = 4.60.
Answer:
Cost of one scarf is $4.6
Step-by-step explanation:
Let the cost of one hat = $H and one scarf is = $S
Now we will form the equations as per statements of the question
for equation 1.
4S + 6H = 52-----------(1)
for equation 2.
H = S + 1 ----------------(2)
Now we will use the substitution method to solve these equations.
By substituting value of H from equation 2 to equation 1.
4S + 6(S + 1) = 52
4S + 6S + 6 = 52
10S + 6 = 52
10S + 6 - 6 = 52 - 6
10S = 46
[tex]S=\frac{46}{10}=4.6[/tex]
Therefore cost of one scarf is $4.6
