Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 1"
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==Solution== | ==Solution== | ||
| − | { | + | Let x be the number of kg of 4% milk and let y be the number of kg of 1% milk. We then have the equations |
| + | |||
| + | <math>x+y=1200</math> | ||
| + | |||
| + | <math>4x+y=2400</math> | ||
| + | |||
| + | <math>3x=1200</math> | ||
| + | |||
| + | <math>x=400</math> | ||
| + | |||
| + | <math>y=1200-400=800 \Rightarrow \mathrm {(C)}</math> | ||
==See also== | ==See also== | ||
{{CYMO box|year=2006|l=Lyceum|before=First Question|num-a=2}} | {{CYMO box|year=2006|l=Lyceum|before=First Question|num-a=2}} | ||
Revision as of 19:14, 19 October 2007
Problem
A diary industry, in a quantity of milk with 
fat adds a quantity of milk with 
fat and produces 
kg of milk with 
fat.
The quantity of milk with fat, that was added is (in kg)
A. 
B. 
C. 
D. 
E. 
Solution
Let x be the number of kg of 4% milk and let y be the number of kg of 1% milk. We then have the equations
See also
| 2006 Cyprus MO, Lyceum (Problems) | ||
| Preceded by First Question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
