Question 953664

1.

if David hikes {{{2}}}{{{ 1/2}}} or {{{2.5}}} miles in a half hour, 


What is his rate in miles per hour?
then his rate is: {{{2*2.5=5(mil/h)}}} 
 
How long will it take him to walk {{{d=18mil}}}:
{{{18mil=5(mil/h)*t}}}
{{{18mil/5(mil/h)=t}}}
{{{t=(18/5)h}}}
{{{t=3.6h}}} or {{{t=3h}}} {{{36}}}'

If he walks {{{t=7h}}} how far will he have gone?
{{{d=5(mil/h)*7h}}}
{{{d=5mil*7}}}
{{{d=35mil}}}


2.

The ratio of green m&ms to yellow is {{{2:5}}}
If there are only green and yellow m&ms in the bag what is the smallest number of m&ms possible?
if {{{green : yellow =2:5}}},  the smallest number of m&ms possibe is {{{2}}} green and {{{5}}} yellow , or {{{7}}} m&ms total

If there are {{{84}}} m&ms in the bag altogether then {{{green +yellow=84}}}=>{{{yellow=84-green}}}

 {{{green / (84-green) =2/5}}}


{{{5green =2(84-green)}}}

{{{5green  =168-2green}}}

{{{5green + 2green=168}}}

{{{7green=168}}}

{{{green=168/7}}}

{{{green=24}}}

then  we have {{{yellow=84-green}}}=>{{{yellow=84-24}}}=>{{{yellow=60}}}


If red m&ms were added to the bag in the above question, to get 100 what is the ratio of green to yellow to red?
{{{green +yellow=84}}}
{{{84+red=100}}}
{{{red=100-84}}}
{{{red=16}}}

ratio:
{{{green:yellow:red}}} is:
{{{24:60:16}}} simplify, divide each by {{{4}}}
{{{6: 15: 4}}}