The solution is (6, -8) (solved by graphing with Desmos.com/calculator)
Answer:
x=amount invested at 7%
2x=amount invested at 8%
3x=amount invested at 9%
interest=principal*rate*time (time=1 year)
$150=0.07x+0.08*2x+0.09*3x
$150=0.07x+0.16x+0.27x
$150=0.50x
$1500=5x
x=$300 invested at 7%
2x=$600 invested at 8%
3x=$900 invested at 9%
Step-by-step explanation:
We have to find the GCF (Greatest Common Factor) of 48 and 42 here...
Factors of 48:
1,2,3,4,6,8,12,16,24,48
Factors of 42:
1,2,3,6,7,14,21,42
The largest common factor of these two numbers is 6.
So, there can be a maximum of 6 members in the club..
Hope this helped!