SOLUTION: If a team played 35 games and lost 2 out of 5 how many games did they lose total?

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Question 343937: If a team played 35 games and lost 2 out of 5 how many games did they lose total?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
NEED TO KNOW:
A proportion(a name given to a statement that two ratios are equal)can be written as:
%28a%2Fb%29=%28c%2Fd%29
When two ratios are equal, then the cross products of the ratios are equal.
LET L BE THE # OF GAMES LOST. GAMES WON WOULD BE (35-L)
THE QUESTION STATES THAT THE FOLLOWING IS TRUE:
2%2F5=L%2F%2835-L%29
CROSS PRODUCTS RESULT IN THE FOLLOWING:
5%2AL=70-2L
SOLVE:
ADD 2L TO BOTH SIDES OF THE EQUATION
7L=70
DIVIDE BOTH SIDES OF THE EQUATION BY 7
L=highlight%2810%29 THE NUMBER OF LOSSES
CHECK YOUR ANSWER WINS=35-10 THAT IS: 25 WINS
%2810%2F25%29=%282%2F5%29