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saveliy_v [14]
3 years ago
7

You and your friend are buying throw blankets with your names embroidered on them.The cost of the throw blanket is x dollars and

the cost of each embroidered letter is y dollars.Your name has 6 letters and the total cost is $29.Your friend’s name has 3 letters and the total cost is $24.50.Find the cost of the throw blanket and the cost of each embroidered letter.
Mathematics
2 answers:
-BARSIC- [3]3 years ago
5 0
The cost of the blanket is $20
The cost of each letter is $1.50
zubka84 [21]3 years ago
5 0

Answer:

Throw Blanket : $20

Embroidered Letter: $1.50

Step-by-step explanation:

Create a set of equations to solve this problem, where x is cost of throw blanket and y is cost of single embroidered letter.

My name:

x+6y=29\\x=29-6y

Friend's name:

x+3y=24

Substituting <em>x</em> into friend's name equation:

(29-6y)+3y=24.5\\3y-6y=24.5-29\\-3y=-4.5\\y=1.5

Substituting <em>y</em> into equation for <em>x</em>:

x=29-6(1.5)\\x=29-9\\x=20

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