Question

14

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.​

Answer 1

Gerrard

Explanation:

Let the size of each poster be
`x`

Eve's poster portion painted will be

`=(1)/(6)* x\\=\frac{x}6}`

Gerrard's painted portion will be:

`=(1)/(5)* x\\=(x)/(5)`

From the two inequalities, we find that
`(x)/(5)` is greater than
`(x)/(6)` by x/30

`(x)/(5)-(x)/(6)\\=(x)/(30)\\`

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