There Are 8 Ounces In A 1/2 Pound. How Many Ounces Are In 7 3/4 Lbs? GMAT Problem Solving

Question: There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 pounds?

1. 12 ounces
2. 86 ounces
3. 119 ounces
4. 124 ounces
5. 138 ounces

“There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs? ” - is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good number of qualitative skills. GMAT Quant section consists of 31 questions in total. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.

Solutions and Explanation

Approach Solution : 1

Let us consider 8 ounces = 1/2 pounds as (a)

On Multiplying (a) by 2 on both sides we get,

16 ounces = 1 pound which is (b)

On Multiplying (a) by 3/4 on both sides we get,

12 ounces = 3/4 pounds which is (c)

On Multiplying (a) by 7 on both sides we get,

112 ounces = 7 pound which is (d)

Adding (c) and (d) we get

12 ounces + 112 ounces = 7 pounds + 3/4 pounds

124 ounces = 7 3/4 pounds

Correct Answer: (D)

Approach Solution : 2

The question clearly says 8 ounces are present in half a pond.

Therefore, 8 ounces= 0.5 pound

Which gives us, 4 ounces = 0.25 pound

Which gives us, 16 ounces =1 pound

So the calculations are as follows,

7.75pounds= (7∗16)+(3∗4)Ounces = (112+12)Ounces = 124 ounces.

Correct Answer: (D)

Approach Solution : 3

Let us convert 7 3/4 to 31/4 and make the proportion. n is the number of ounces

8/(1/2) = n/(31/4)

16 = 4n/31

16 x 31 = 4n

4 x 31 = n

124 = n

Correct Answer: (D)

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