MATH SOLVE

2 months ago

Q:
# The cost of four scarfs and six hats is $52 the cost of to hatch is one dollar more than the cost of one scarf what is the cost of one scarf

Accepted Solution

A:

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.