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A real toughie:

A store gives every 20th customer a $20 gift certificate. Every 75th customer gets a $75 gift certificate. Which customer will be the first to recieve both types of gift certificates? Explain how you found your answer.

2007-01-22 10:59:08 · 7 answers · asked by shielss♥ 2 in Education & Reference Homework Help

7 answers

Although your are correct mathematically, 300 is the common multiple of 20 & 75.But, your logically INCORRECT. If the 20th customer receives a $20 gift cert. and the 75 gets $75, it could be the same person. Your base your answer on one irrational thought, that the 20th and 75th customer(s) will never be different customers. This implies that the 20th customer will only visit the store every 20 times, and so on and so on. The same goes for the 75th customer. So it’s more logical to have the 20th customer come back, be the 75th customer before waiting to be the 300th customer. And even IF, and I stress that, the 1st $20 winner were to come back at 300, that person would have won a total two $20 and one $75 gift at that time, this leaving the store to decide is that customer the 300th, for a $20 cert. or the $75.so that customer could get stuck with on two $20 gifts, or only one of each, leaving the customer short changed by $20 or $75 ... and in that its easier to realize that the recipient of both certificates will come with the first 75 customers.

Live and learn... and try to keep up.

2007-01-24 11:35:15 · answer #1 · answered by neverlearn! 1 · 0 0

It's the lowest common multiple of 20 and 75. 75 doesn't work. 75*2 = 150 doesn't work. 75*3 doesn't work. 75*4 = 300 works because that is also a multiple of 20. So the 300th customer will get both cards. Do your own homework missy. You're lucky I'm in a time-wasting mood.

2007-01-22 11:08:12 · answer #2 · answered by Fingers 2 · 0 0

20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360.

75: 75, 150, 225, 300.

The first person to receive both certificates is the 300th person.

2007-01-22 11:06:21 · answer #3 · answered by lauriee.xo.33;; 2 · 0 0

300 th customer.....

customers 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300
customers 75, 150, 225, 300

i don't know of a formuly to get the answer

2007-01-22 11:07:56 · answer #4 · answered by histruthstands 1 · 0 0

The 300th customer will get both certificates...
List all of the multiples of 20 and 75.
The first one that is the same is 300.

Although I don't get how someone can get both certificates, that is the answer for the multiples. Hope I helped.

2007-01-22 11:04:27 · answer #5 · answered by Dee 6 · 0 1

It will be the 300th customer. In a column labeled $20, write down:
20
40
60
80 and so forth

Do the same with another column labeled $75 and write:

75
150
225
300

When you keep going on column one, you will find that 300 is the common number for both columns.

2007-01-22 11:06:12 · answer #6 · answered by lou53053 5 · 0 0

the 300th one

20th customers are 20,40,60,80,100,120,140,160,180,200,220,240,260,280,300

75th customers are:
75,150,225,300

300 is the first of the same

2007-01-22 11:04:17 · answer #7 · answered by funlovinlady27 3 · 2 0

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