Question

If you share £40 in the ratio 1:4 between Tim and sam .they will each get ?

Answer 1

`₤8 and "₤32`

Explanation:

`"sum the parts of the ratio "1+4=5" parts"`

`rArr(₤40)/5=₤8larrcolor(blue)"1 part"`

`rArr"Tim gets 1 part "=₤8`

`"Sam gets 4 parts "=4xx₤8=₤32`

`"and "₤8+₤32=₤40`

Answer 2

Tim `-> £8.00`

Sam `->£32.00`

Explanation:

`color(brown)("Lets convert the ratio into fractions of the whole.")`

We have:

Tim `->color(white)(".") 1" Part"`
Sam `->ul(4" Parts")`
`color(white)("ddddddd")5" Adding up all the parts"`

So Tim has `color(white)(".")1/5` of the whole

So Sam has `4/5` of the whole

`color(brown)("Using the fractions to solve the question")`

Tim `->1/5xx£40color(white)("d") =color(white)("d") 1xx(£40)/5color(white)("d") =color(white)("d") £8.00`

Sam `->4/5xx£40color(white)("d")=color(white)("d")4xx(£40)/5 =color(white)("d")£32.00`