Ming used the calculations shown to find out how much he would spend on 6 pounds of ground beef if 10 pounds of ground beef cost $25.00.
StartFraction 10 pounds over 25 dollars EndFraction = StartFraction 10 pounds divided by 25 over 25 dollars divided by 25 EndFraction = StartFraction 0.4 over 1 EndFraction. Unit Price = 40 cents. 40 cents times 6 = 2 dollars and 40 cents.
What was Ming’s error?
He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
He divided the numerator and the denominator of the fraction by 25.
He made a mistake when finding the quotient of 10 pounds and 25 dollars.
He made a mistake when finding the product of $0.40 and 6.
Answers
Question :- Ming used the calculations shown to find out how much he would spend on 6 pounds of ground beef if 10 pounds of ground beef cost $25.00. What was Ming’s error ?
StartFraction 10 pounds over 25 dollars End Fraction StartFraction 10 pounds divided by 25 over 25 dollars divided by 25 End Fraction
StartFraction 0.4 over 1 End Fraction.
Unit Price = 40 cents.
40 cents times 6 = 2 dollars and 40 cents.
What was Ming’s error ?
A) He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
B) He divided the numerator and the denominator of the fraction by 25.
C) He made a mistake when finding the quotient of 10 pounds and 25 dollars.
D) He made a mistake when finding the product of $0.40 and 6.
Solution :-
Solving his calculation we get,
→ Start Fraction 10 pounds over 25 dollars = (10 pounds / $25.00) = (10 pounds/ 25) / ($25. 00/25) = (0.4/1)
Ming gets ,
- Unit Price = $0.40
- $0.40 * 6 = $2.40
we can conclude that, Ming made the following division :-
- (10/25) = 0.4
Conclusion :-
- (10 / 25) = (2/5) = (2.0/5) = 0.4 => The result of the division is correct numerically.
But , the units of the result are incorrect.
As we can see , he divides 10 pounds by 25 dollars .
Then,
- The correct units will be = (0.4 pound / $) .
Hence, we can conclude that, Option (A) is correct answer .
- A) He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
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