Rachel has 3 times as many roses as carnations. She has 12 fewer carnations than daisies. There are 15 daisies. How many flowers does Rachel have in all

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Respuesta :

Answer:

27 flowers

Step-by-step explanation:

Let

x ----> the number of roses

y ----> the number of carnations

z ----> the number of daisies

we know that

[tex]x=3y[/tex] ----> equation A

[tex]y=z-12[/tex] -----> equation B

[tex]z=15[/tex] -----> equation C

substitute the value of z in equation B

[tex]y=15-12=3[/tex]

substitute the value of y in equation A

[tex]x=3(3)=9[/tex]

so

Rachel have 9 roses, 3 carnations and 15 daisies

In total

9+3+15=27 flowers