Problema Solution

Ms. Leslie has $2,750 to spend on a table and 5 chairs. The table costs 3 times as much as one chair. After buying all the items she has $262 left. What is the total cost of all the items? What is the cost of all 5 chairs?

Answer provided by our tutors

let


c = the cost of 1 chair

t = the cost of 1 table


table costs 3 times as much as one chair


t = 3c


after buying all the items she has $262 left


t + 5c = 2750 - 262


t + 5c = 2488


the total cost of all the items is $2,488


by solving the system of equations


t = 3c

t + 5c = 2488


we find


c = $311


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5c = 5*311 = $1,555


the cost of all 5 chairs is $1,555.