Jade L. answered • 12/12/19
Patient and Knowledgeable Math Tutor
Base on the information we can get an equation 5c + 3t =37.
Since we only have one equation but 2 knowns, and the number for chairs and tables has to be positive integers, thus assume
c=1, 5x1+3t=37
5+3t=37
3t=32
t=10.6666, that't not a positive integer, thus not an answer
assume c=2, 5x2+3t=37
10+3t=37
3t=27
t=9
the price of chair is $2 and the price of table is $9, this could be one answer.
Continue assume c=3, 5x3+3t=37
15+3t=37
3t=22
t=7.3333, that't not a positive integer, thus not an answer
Continue assume c=4, 5x4+3t=37
3t=17
t=5.6666, that't not a positive integer, thus not an answer
Continue assume c=5, 5x5+3t=37
25+3t=37
3t=12
t=4
the price of chair is $5 and the price of table is $4, this could be one answer.
Continue assume c=6, 5x6+3t=37
30+3t=37
3t=7
t=2.3333, that't not a positive integer, thus not an answer
Continue assume c=7, 5x7+3t=37
35+3t=37
3t=2
t=0.6666, that't not a positive integer, thus not an answer, and t=0.6666 is even less than 1, if we continue to assume c which bigger than 7, and t will be less than 0.6666, that is not possible.
We got 2 answers:
(1). 2 chairs and 9 tables or
(2). 5 chairs and 4 tables.
