Question

The difference between 78% of a number and 56% of the same number is 429. What is 66% of that number? Select one: a. 1267 b. 1287 c. 1248 d. 1326

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Let the number in question be x.  

78% of x is given as:  

= 0.78x

56% of x is given as :

= 0.56x

The difference of this two number is given as :

= 0.78x - 0.56x

This will be equivalent to 429.

We equate the two as follows:

0.78x - 0.56x = 429

0.22x = 429

We solve for x below:

x = 1950

We now need 66% of 1950

66% of 1950 is :

66/100 × 1950 = 1287

The answer is 1287