SOLUTION: David hikes 2 1/2 miles in a half hour. What is his rate in miles per hour? How long will it take him to walk 18 miles? If he walks 7 hours how far will he have gone? The ra

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Question 953664: David hikes 2 1/2 miles in a half hour.
What is his rate in miles per hour?
How long will it take him to walk 18 miles?
If he walks 7 hours how far will he have gone?
The ratio of green m&ms to yellow is 2:5
If there are only green n yellow m&ms in the bag what is the smallest number of m&ms possibe?
If there are 84 m&ms in the bag altogether how many are green?
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?
Please help...I am so stumped

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
if David hikes 2+1%2F2 or 2.5 miles in a half hour,

What is his rate in miles per hour?
then his rate is: 2%2A2.5=5%28mil%2Fh%29

How long will it take him to walk d=18mil:
18mil=5%28mil%2Fh%29%2At
18mil%2F5%28mil%2Fh%29=t
t=%2818%2F5%29h
t=3.6h or t=3h 36'
If he walks t=7h how far will he have gone?
d=5%28mil%2Fh%29%2A7h
d=5mil%2A7
d=35mil

2.
The ratio of green m&ms to yellow is 2%3A5
If there are only green and yellow m&ms in the bag what is the smallest number of m&ms possible?
if green+%3A+yellow+=2%3A5, 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+%2Byellow=84=>yellow=84-green
green+%2F+%2884-green%29+=2%2F5

5green+=2%2884-green%29
5green++=168-2green
5green+%2B+2green=168
7green=168
green=168%2F7
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+%2Byellow=84
84%2Bred=100
red=100-84
red=16
ratio:
green%3Ayellow%3Ared is:
24%3A60%3A16 simplify, divide each by 4
6%3A+15%3A+4