SOLUTION: Each time Shannon pushes the button on a machine, a bell rings 7 times. Each time she turns the switch on the machine, the bell rings 3 times. During one hour, Shannon caused the b

Question 254105: Each time Shannon pushes the button on a machine, a bell rings 7 times. Each time she turns the switch on the machine, the bell rings 3 times. During one hour, Shannon caused the bell on the machine to ring 23 times. How many times did she push the button?
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
let pushes on the button equal P and turns on the switch equal T
7P+3T=23
We can try all values of P (we don't need to do anything over P=4 because this alone would give us more than 23 rings.
7(0)+3T=23
T=23/3
7(1)+3T=23
3T=16
T=16/3
7(2)+3T=23
14+3T=23
3T=9
T=3
So, when turns equals 3, P=2
Therefore, the button was pushed 2 times.
.
If you need more help, contact me at justin.sheppard.tech@hotmail.com
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