Sue and oliver share £160 in the ratio 3:5 Work out how much more oliver get conpared to cue.

Mathematics

2 answers:

Marat540 [252]3 years ago

6 0

Answer:

£40

Step-by-step explanation:

3+5=8

160÷8= 20

20× 5=100

20×3=60

100-60=40

FrozenT [24]3 years ago

4 0

Answer:

£40

Step-by-step explanation:

160 shared between 3:5

3 + 5 = 8 (parts)

160 ÷ 8 = 20

20 = 1 part

Sue has 3 parts; (20 x 3) = £60

Oliver has 5 parts; (20 x 5) = £100

Work out how much more oliver get conpared to sue

oliver has £100, sue has £60

£100 - £60 = £40

oliver has £40 compared to sue

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xxMikexx [17]

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\\\\l\perp k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the points J(-24, -4) and K(-4, 6)}.\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{substitute:}\\\\m_1=\dfrac{6-(-4)}{-4-(-24)}=\dfrac{10}{20}=\dfrac{1}{2}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2\\\\\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{substitute the coordinates of the points J and K:}$

$x=\dfrac{-24+(-4)}{2}=\dfrac{-28}{2}=-14\\\\y=\dfrac{-4+6}{2}=\dfrac{2}{2}=1\\\\\text{midpoint}\ (-14,\ 1)\\\\\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\\text{substitute}\ m=-2,\ x_1=-14\ \text{and}\ y_1=1:\\\\y-1=-2(x-(-14))\\\\\boxed{y-1=-2(x+14)}$