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Sonia paid $25 for two scarfs which were different prices when she got home she could not find the receipt she remembered that One scarf costs three dollars more the other what was the price of the more expensive scarf

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luisejr77

Answer: [tex]\$14[/tex]

Step-by-step explanation:

Let be "x" the price in dollars of the more expensive scarf and "y" the price in dollars of the other scarf that was cheapier.

Set up a system of equations:

[tex]\left \{ {{x+y=25} \atop {x=y+3}} \right.[/tex]

Applying the Substitution method, you must substitute the second equation into the first equation and then solve for "y":

[tex](y+3)+y=25\\\\2y=25-3\\\\y=\frac{22}{2}\\\\y=11[/tex]

Finally, susbtitute this value into the second equation in order to find "x":

[tex]x=11+3\\\\x=14[/tex]

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