Question

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.

Answer 1

The cost of the blanket is $20
The cost of each letter is $1.50

Answer 2

Throw Blanket : $20

Embroidered Letter: $1.50

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 x into friend's name equation:

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

Substituting y into equation for x:

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