Math using ratio and proportions?

Question

1.Which is the better buy: 5 lb of sugar for $4.75 or 20 lb of sugar for $19.92?

2.What is the rate of
240 lbs of ferterlizer-
_________________
6 lawns


3.Write the proportion that is equivalent to the given statement.

If Maria hit 8 home runs in 15 softball games. Then she should hit 24 home runs in 45 games.

Answer 1

Answer to the 1 question is this:

a. take $4.75/5lb = $.95/lb
b. take $19.92/20lb= $.996/lb

so clearly it is cheaper per lb to buy the 5 lb bag of sugar.

answer to 2

if it takes 240 lbs for 6 lawns, then 240lbs/6lawns = 40 lbs of fertelizer for each lawn = 40lbs/lawn

answer to 3

8 home runs/15 softball games = .53 home runs/game

so if x = number of games then; .53 home runs/game * x = number of homeruns.

therefore the answer is .53 home runs/game * 45 games = 24 home runs.

done.

Answer 2

1. How much sugar do you need? :)
If you are looking for the lowest price per pound, there are a couple of ways of comparing.
Reduce both to price per pound.
If 5 lb costs 4.75, what does each lb cost.
If 20 lb costs 19.92, what does each lb cost.
The lower one is the better answer.

2. Rate of fertilizer?
I would assume that you want to know how much fertilizer you would put on each lawn if you have 240 lb for 6 lawns.
How would you figure out that problem?
If you had 1 lawn you would use all 240.
The next step would be 2 lawns to get the trick.

3. Do you agree with that statement? Why do you agree or disagree? Maria is quite the slugger, by the way.
I assume that if you are doing the ratio that you want the statement
x::y as a::b what can I say about the relationship between y and b if a=3x?
That answer will give the answer to your question.

Answer 3

1. 5 lb.

2. 40 lb/lawn

3.8/15 = 24/45

Answer 4

4.75 X 4 = 19.00

You would be better of buying 4 lots of 5 lbs each for a total of $19.00 only

Answer 5

1. 4 5LB BAGS

2.40 LBS/LAWN

3.8/15=24/45

Answer 6

The ratio os 5 lb of sugar of $ 4.75

6/4.75 = 1.050420165

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The ratio of 20 lb of suger for 19.92

20/ 19.92 = 1,004016064

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The better buy is 5 lb for $ 4.75

Answer 7

(4.75)/5 = $0.95 a pound
(19.92/20) = $0.996 a pound

Better deal is the 5 lb for $4.75

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(240/6) = 40 lbs per lawn

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(8/15) = (24/45)