SOLUTION: Hi james has some matchsticks and sachets.if one matchstick is put into each sachet, he hss 2 matchsticks left.if he puts 2 matchsticks into each sachet he will have 24 sachets le

Question 1044518: Hi
james has some matchsticks and sachets.if one matchstick is put into each sachet, he hss 2 matchsticks left.if he puts 2 matchsticks into each sachet he will have 24 sachets left. How many matchsticks and sachets does he have.
thank you
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of matchsticks
= number of sachets
"If one matchstick is put into each sachet, he has 2 matchsticks left" translates as
.
"If he puts 2 matchsticks into each sachet he will have 24 sachets left" translates as
,
because James has pairs of matchsticks,
and he would use sachets.
Because I am not a fan of denominators,
I would multiply both sides of the equal sign times tp transform
into the equivalent equation .
Now I have the system of equations
.
There are many ways to solve for and .
One way:
Adding both equations, I get
--->
Substituting that calue for in ,
I can get ---> ---> .
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