Question #839d2

4 Answers
Jul 19, 2017

9" peaches and " 3" grapefruit"

Explanation:

"4parts "to" 12 pears"

rArr"1 part "to12/4=color(red)(3)

rArr"peaches "=3xxcolor(red)(3)=9

rArr"grapefruit "=1xxcolor(red)(3)=3

Jul 19, 2017

Calculate one part of the ratio and then mutiply.

Explanation:

  1. Calculate what one part of the ratio equals. 4 parts equals 12 so therefore 1 part would equal 3.

  2. Peaches : Grapefruit : Pears
    3 :1 :4
    We know what one part equals so we can substitute in.
    (3×3) :(1×3) :(4×3)
    9 :3 :12

Looking at this we can see there are 9 peaches and 3 grapefruits.

Hope this has helped.

Jul 19, 2017

There are 9 peaches and 3 grapefruit.

Explanation:

In this case we have the simplified ratio of

"peaches : grapefruit : pears"
" "3color(white)(xxx):color(white)(xxx)1color(white)(xxx):color(white)(xxx)4

But we want to know the actual numbers of the fruit.
There are 12 pears.

4 xx 3 =12

"peaches : grapefruit : pears"

" "3color(white)(xxx):color(white)(xxx)1color(white)(xxx):color(white)(xxxx)4
" "darrcolor(white)(xx)color(white)(xxx)darrcolor(white)(xxx):color(white)(xxx)darr
" "color(white)(xxxxxxxxxxxxxxx)xx3" "larr (4xx3 =12)
" "darrcolor(white)(xx)color(white)(xxx)darrcolor(white)(xxx):color(white)(xxx)darr
" "?color(white)(xxx):color(white)(xxx)?color(white)(xxx):color(white)(xxx)12

so now multiply the other parts of the ratio by 3 as well.

" "3color(white)(xxx):color(white)(xxx)1color(white)(xxx):color(white)(xxxx)4
" "darrcolor(white)(xx)color(white)(xxx)darrcolor(white)(xxx):color(white)(xxx)darr

" "xx3color(white)(xxxx)xx3color(white)(xxxxx)xx3
" "darrcolor(white)(xx)color(white)(xxx)darrcolor(white)(xxx):color(white)(xxx)darr

" "9color(white)(xxx):color(white)(xxx)3color(white)(xxx):color(white)(xxxx)12

There are 9 peaches and 3 grapefruit.

Jul 26, 2017

There are 9 peaches and 3 grapefruit in the basket along with the 12 pears.

Explanation:

We have a fixed ratio of peaches, to grapefruit, to pears as 3:1:4.

It looks like: pe3:gr1:pr4

We are also given that there is a quantity of 12 pears which we have represented above by pr4.

Then to find the quantity of each fruit we need to multiply the entire ratio by cancel((pr)12)/cancel((pr)4)=3

The quantity of each fruit is then: 3xx(pe3:gr1:pr4)

=pe9+gr3+pr12

Now we need some apples.