An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship a maximum of 20 pieces of furniture and must sell at least $4800 worth of chairs and tables. If 18 chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer

no possible solution

Step-by-step explanation:

Price of 18 chairs:  18 x 150 = $2700

Minimum number of tables to meet $4800 threshold:  (4800 - 2700) ÷ 350 = 6

To reach the $4800 requirement, the store must sell a minimum of 6 tables in addition to the 18 chairs.  However, it is stated that the store can ship a maximum of 20 pieces of furniture, and selling 18 chairs and 6 tables would exceed this (18 + 6 = 24), therefore there is no possible solution.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1