Math Is Fun Forum

wclint5

Member

Registered: 2008-02-22

Posts: 1

Need Help - COMPLICATED FOR ME.

The problem is I have a value of 44.91 units that equal 59% and 23.40 units that equal 41%, how much more value are the 23.40 units compared to the 44.91 units. Than if I add 2.85 units to the 23.40 units (same value)  to now total 26.25 what would the new percentage split be between the 44.91 and 26.25?

integer

Member

Registered: 2008-02-21

Posts: 79

Re: Need Help - COMPLICATED FOR ME.

As stated it seems as if the total cost (same value) was not to be changed.

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The problem somewhat restated:
  a value of 44.91 units (of APPLES)  equal 59% of TOTAL COST
& a value of 23.40 units (of ORANGES) equal 41% of TOTAL COST
how much more value (UNIT PRICE) are the 23.40 units (ORANGES) compared to the 44.91 units (APPLES).
What is the difference of the unit prices between Apples & Oranges.
THEN, if 2.85 units (ORANGES) are added to the 23.40 units (AT THE same UNIT PRICE) to now total 26.25
units of ORANGES, What is the REVISED TOTAL COST?
what percentage of the REVISED TOTAL COST is APPLES and what per cent ORANGES?
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44.91 units (of apples)  equal 59% of total cost
23.40 units (of oranges) equal 41% of total cost

Suppose the Total Cost is 100 euros.

1) the unit cost of apples is (59/44.91=) 1.31373859 euros each (for a total of 59 euros).

2) the unit cost of oranges is (41/23.4=) 1.75213675 euros each (for a total of 41 euros).

The oranges (per unit) are (1.75213675/1.31373859 = 1.3337 ) 33% more expensive than apples.

The 26.25 units of Oranges cost (1.75213675 * 26.25) 45.99359 euros.

The REVISED TOTAL COST is (45.99359 for oranges + 59 for apples) 104.99359 euros.
 
thus, the 44.91 units of apples represent (59/104.99359 = 0.5619390) 56.2% of TOTAL COST
and, the 26.25 units of oranges represent (45.99359/104.99359 = 0.4380609) 43.8% of TOTAL COST.