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13. Higher Order Thinking Eve and Gerard
each have of a poster to paint. Eve
divided her half into 6 equal sections. She
painted one section blue. Gerard divided
his half into 5 equal sections. He painted
one section blue. Whose blue section is
larger? Explain.​

Respuesta :

Answer:

Gerrard

Step-by-step explanation:

Let the size of each poster be [tex]x[/tex]

Eve's poster portion painted will be

[tex]=\frac{1}{6}\times x\\=\frac{x}6}[/tex]

Gerrard's painted portion will be:

[tex]=\frac{1}{5}\times x\\=\frac{x}{5}[/tex]

From the two inequalities, we find that [tex]\frac{x}{5}[/tex] is greater than [tex]\frac{x}{6}[/tex]  by x/30

[tex]\frac{x}{5}-\frac{x}{6}\\=\frac{x}{30}\\[/tex]

hence Gerrard has the larger blue section. His portion is 16.67% greater than Eve's