Raymond purchased a package of ground beef at a cost of $1.9

Question

Raymond purchased a package of ground beef at a cost of $1.98 per pound. If, for the
same amount of money, Raymond could have purchased a piece of steak that weighed 40
percent less than the package of ground beef, what was the cost per pound of the steak?

A. $4.95
B. $4.20
C. $3.60
D. $3.30
E. $3.10

I have a doubt the ans.

A. $4.95
B. $4.20
C. $3.60
D. $3.30
E. $3.10

Bunuel · Accepted Answer

Forget about the packages. Basically we are told that $1.98 is enough to buy a piece of steak which is 40% less than 1 pound, so $1.98 is enough to buy 0.6 pounds of steak --> 0.6 pound = $1.98 --> 1 pound = $1.98/0.6 = $3.3.

Answer: D.

DaVagabond · Answer

Always for this kind of a problem(s), the best method is to go by the cross multiplications ,

If A = B , And C is what ???

A= B , then take C= X, then X = B*C/A

SO, 1 Pound of beef = $ 1.98

Then 60% of 1 Pound of Steak (A) = $1.98 (B)

Then 100 % of 1 Pound of steak (C) = X

So , X = $1.98 *1 Pond of steak / .6Pound of steak

We get $3.30 Ans D.

Best

KarishmaB · Answer

Remember, Expense = Price * Quantity
If for same Expense, Quantity of Steak is 6/10 of the quantity of ground beef, then price of Steak must be 10/6 of the price of ground beef. (to keep expense same Expense = (10/6)Price * (6/10) Quantity)
(10/6)*1.98 = 3.3

Temurkhon · Answer

1.98x=0.6xy

y=1.98x/0.6x=3.3

D

shasadou · Answer

a EP2 question CAT6 lol

cbh · Answer

1.98/x = 0.6/1
0.6x = 1.98
x = 3.3

Fedemaravilla · Answer

I think this answer I bad written. It talks about a package of beef not specifing that how many pounds does it weight. Then it says again 40% less than the package, how can we assume that the package weights 1 pound??

generis · Answer

Fedemaravilla  , it might seem confusing, but you should not assume the first package weighs one pound. See  Bunuel  ,  above

You are dealing with a rate (  \frac{cost}{pound}  ), not a quantity.

The prompt gives us "cost per   pound" for convenience.
But "cost per   pound" does not mean there is  only  one pound.

Suppose the first package weighed two pounds. 
The prompt would have told us it cost $3.96. 
The rest of the question would be the same.

What was the cost per pound of the steak?

\frac{TotalCost}{NumberOfLbs}  =  Cost per pound

The number of pounds changed to a fraction of the original number of pounds
40 percent less than 2 pounds = (.60)(2) = 1.2 pounds
The equation for the original  rate  also must change:
From   \frac{$3.96}{2 lb}   to   \frac{$3.96}{1.2lbs} = $3.30   per pound for steak

Similarly, here:   \frac{$1.98}{1lb} = $1.98   per pound for ground beef. 
The number of pounds changed from 1 to 0.6 pounds
That changes the original rate
The equation also must change to   \frac{$1.98}{.60} = $3.30   per pound of steak

In short, when you see "cost per pound," you are dealing with a rate, not a quantity.
Focus on the rate, and in this case, how the rate gets changed.

Hope that helps.

bumpbot · Answer

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Raymond purchased a package of ground beef at a cost of $1.9

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Raymond purchased a package of ground beef at a cost of $1.9

Prep Toolkit

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