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in samantha's garden, the ratio of sunflowers to marigolds is 4:5. If Samantha has 45 flowers total in her garden, how many sunflowers does she have?

Respuesta :

calculista

Answer:

[tex]20\ sunflowers[/tex]

Step-by-step explanation:

Let

x----> the number of sunflowers

y----> the number of marigolds

we know that

[tex]\frac{x}{y}=\frac{4}{5}[/tex]

[tex]y=\frac{5}{4}x[/tex] ----> equation A

[tex]x+y=45[/tex] ----> equation B

substitute equation A in equation B and solve for x

[tex]x+\frac{5}{4}x=45[/tex]

[tex]\frac{9}{4}x=45[/tex]

[tex]x=45*4/9=20\ sunflowers[/tex]

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