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HELP !!!!!! Francesca has 63 cm of ribbon. She will cut it into two pieces so that the longer piece is 15 cm longer than the shorter piece. What will the length of the longer piece be?



Answer :

calculista

Answer:

The length of the longer piece will be [tex]39\ cm[/tex]

Step-by-step explanation:

Let

x------> the longer piece

y-----> the shorter piece

we know that

[tex]x+y=63[/tex] ------> equation A

[tex]x=y+15[/tex] ------> equation B

substitute the equation B in equation A

[tex](y+15)+y=63[/tex]

solve for y

[tex]2y=63-15[/tex]

[tex]y=48/2=24\ cm[/tex]

Find the value of x

[tex]x=y+15[/tex]--------> [tex]x=24+15=39\ cm[/tex]

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