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Thursday, April 27, 2006

Factors, fractions and percentages

(1)
My house number is the lowest on the street that when divided by 2, 3, 4, 5, or 6, will always leave a remainder of 1. However, when divided by 11 there is no remainder. What is my house number?

(2)
The average of three numbers is 17. The average of two of these numbers is 25. What is the third number?

(3)
A statue is being carved by a sculptor. The original piece of marble weights 140 lb. On the first week 35% is cut away. On the second week the sculptor chips off 26 lb and on the third week he chips off two-fifth of the remainder, which complete statue. What is the weight of the final statue?

Source:

3 comments:

Anonymous said...

Answer:
(1) 121
(2) 1
(3) 39 lb

Anonymous said...

we do not understand how to do my daughters math question. Relating Three Numbers. could you maybe explain how to do it
thanks

-- fistylady

INEW Math said...

Let’s assume that the 3 numbers are a, b and c.

Average of 2 numbers = (a + b) / 2 = 25
(a + b) = 25 x 2 = 50
(a + b) = 50

Average of 3 numbers = (a + b + c) / 3 = 17
(a + b + c)= 17 x 3 = 51
(a + b) + c = 51 and as shown above (a+b) = 50
50 + c = 51
c = 51 – 50 = 1