Algebralization of a puzzle
$begingroup$
I tried to put this algerba through algebra and couldn't:
Each of 20 students in a group have solved three problems from the homework assignment, and each problem was solved by two students. How many problems were in the assignment?
discrete-mathematics
edited Jan 19 at 17:01
greedoid
39.5k114797
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
$endgroup$
add a comment |
$begingroup$
I tried to put this algerba through algebra and couldn't:
Each of 20 students in a group have solved three problems from the homework assignment, and each problem was solved by two students. How many problems were in the assignment?
discrete-mathematics
edited Jan 19 at 17:01
greedoid
39.5k114797
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
$endgroup$
add a comment |
$begingroup$
I tried to put this algerba through algebra and couldn't:
Each of 20 students in a group have solved three problems from the homework assignment, and each problem was solved by two students. How many problems were in the assignment?
discrete-mathematics
edited Jan 19 at 17:01
greedoid
39.5k114797
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
$endgroup$
I tried to put this algerba through algebra and couldn't:
Each of 20 students in a group have solved three problems from the homework assignment, and each problem was solved by two students. How many problems were in the assignment?
discrete-mathematics
discrete-mathematics
edited Jan 19 at 17:01
greedoid
39.5k114797
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
edited Jan 19 at 17:01
greedoid
39.5k114797
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
edited Jan 19 at 17:01
greedoid
39.5k114797
edited Jan 19 at 17:01
greedoid
39.5k114797
edited Jan 19 at 17:01
greedoid
39.5k114797
39.5k114797
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
asked Dec 5 '18 at 20:49
J.MohJ.Moh
395
395
add a comment |
add a comment |
1 Answer
1
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oldest
votes
$begingroup$
First compute, how many tasks where performed by all students together. As each students solved three (different) problems, we have a total of
$$20 * 3 = 60$$
performed tasks. Now every problem was solved by exactly two students. So there were at all
$$ frac{60}{2} = 30$$
problems.
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
$endgroup$
$begingroup$
Thanks, do you study at Mittweida?
$endgroup$
– J.Moh
Dec 5 '18 at 20:56
add a comment |
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1 Answer
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active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
First compute, how many tasks where performed by all students together. As each students solved three (different) problems, we have a total of
$$20 * 3 = 60$$
performed tasks. Now every problem was solved by exactly two students. So there were at all
$$ frac{60}{2} = 30$$
problems.
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
$endgroup$
$begingroup$
Thanks, do you study at Mittweida?
$endgroup$
– J.Moh
Dec 5 '18 at 20:56
add a comment |
$begingroup$
First compute, how many tasks where performed by all students together. As each students solved three (different) problems, we have a total of
$$20 * 3 = 60$$
performed tasks. Now every problem was solved by exactly two students. So there were at all
$$ frac{60}{2} = 30$$
problems.
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
$endgroup$
$begingroup$
Thanks, do you study at Mittweida?
$endgroup$
– J.Moh
Dec 5 '18 at 20:56
add a comment |
$begingroup$
First compute, how many tasks where performed by all students together. As each students solved three (different) problems, we have a total of
$$20 * 3 = 60$$
performed tasks. Now every problem was solved by exactly two students. So there were at all
$$ frac{60}{2} = 30$$
problems.
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
$endgroup$
First compute, how many tasks where performed by all students together. As each students solved three (different) problems, we have a total of
$$20 * 3 = 60$$
performed tasks. Now every problem was solved by exactly two students. So there were at all
$$ frac{60}{2} = 30$$
problems.
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
answered Dec 5 '18 at 20:52
red_trumpetred_trumpet
843219
843219
$begingroup$
Thanks, do you study at Mittweida?
$endgroup$
– J.Moh
Dec 5 '18 at 20:56
add a comment |
$begingroup$
Thanks, do you study at Mittweida?
$endgroup$
– J.Moh
Dec 5 '18 at 20:56
$begingroup$
Thanks, do you study at Mittweida?
$endgroup$
– J.Moh
Dec 5 '18 at 20:56
$begingroup$
Thanks, do you study at Mittweida?
$endgroup$
– J.Moh
Dec 5 '18 at 20:56
add a comment |
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