Asked by Sandra
Word problem: A new photocopier can make 72 copies in 2 min. When the older photocopier is operational, the two photocopiers together can make 72 copies in 1.5 min. How long would it take the older photocopier to make 72 copies working alone? Show work.
Answers
Answered by
Reiny
rate of new = 72/2 copies/min
rate of old = 72/x copies/min
combined rate = 72/2 + 72/x
= (72x + 144)/(2x) copies per min
72/(72x+144)/(2x)) = 1.5
72(2x)/(72x+144) = 1.5
144x = 108x + 216
36x = 216
x = 6
rate of old machine = 72/6 or 12 copies/minute
rate of old = 72/x copies/min
combined rate = 72/2 + 72/x
= (72x + 144)/(2x) copies per min
72/(72x+144)/(2x)) = 1.5
72(2x)/(72x+144) = 1.5
144x = 108x + 216
36x = 216
x = 6
rate of old machine = 72/6 or 12 copies/minute
Answered by
Sandra
Thanks much, that helps a lot.
Answered by
Steve
or, consider this as the usual work problem, where the job is to make 72 copies.
1/1.5 = 1/x + 1/2 = 1/1.5
1/x = 2/3 - 1/2
1/x = 1/6
x = 6
It would have been a little more interesting if the number of copies given for each machine had been different. You might play around with that if you're curious.
1/1.5 = 1/x + 1/2 = 1/1.5
1/x = 2/3 - 1/2
1/x = 1/6
x = 6
It would have been a little more interesting if the number of copies given for each machine had been different. You might play around with that if you're curious.
Answered by
Anonymous
Melissa Stone was just hired as a nurse at a hospital where she will earn $45,000 per year. If she receives a 6% raise each year, how much total money will she earn over the next 10 years?
Answered by
Eunice
$477000
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