Example 3.15
A cricket team won two matches more than they lost. If they
win they get 5 points and for loss - 3 points, how many matches
have they played if their total score is 50.
pls solve this
Answers
Answer:
12 MATCHE$
Step-by-step explanation:
if X is 5 then X +2 will be 7. Team lost 5 matches and won 7 matches so in total they played 5+7=12 matches
Answer:
The total matches played by the team is 130 matches.
Step-by-step explanation:
Let the total score scored by them be 50 .
For 1 win they get 5points and for losing 1 match -3 points .
Since, the cricket team won two matches more than they lost .
Therefore,
Let the matches lost by them be x matches,
then the equation formed will be;
5(x+2)+{-3(x)}=50
5x+10-3x=50
2x+10=50
2x=50-10
2x=40
x=40/2
x=20
so the lost matches is 20 and number of matches won are 110 so the total matches played are 130 matches
Verification
let us put x=20
so,
5(x+2)-3x=50
5(20+2)-3(20)=50
5(22)-3(20)=50
110-60=50
50=50
LHS =RHS
Verified