Question #839d2

4 Answers
Jul 19, 2017

Answer:

#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

Answer:

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

Answer:

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

Answer:

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.