Question 204967
Let x = the number of graphing calculators at $56 each, then (47-x) = the number of scientific calclators at $8 each.
The cost of each group of calculators can be expressed as:
x graphing calculators at $56 each = ($56)*x.
(47-x) scientific calculators at $8 each = ($8)*(47-x).
The sum of these two amounts is given as $1,768.00 so we have enough information to form an equation in x.
(56)(x) + (8)*(47-x) = 1769 Simplify and solve for x.
56x+376-8x = 1768 Combine the x-terms on the left.
48x+376 = 1768  Subtract 376 from both sides.
48x = 1393  Divide both sides by 48.
x = 29 and...
(47-x) = 47-29 = 18.
29 graphing calculators and 18 scientific calculators were ordered.