SOLUTION: The college paid $1718 for an order of 47 calculators. The store paid $10 for each scientific calculator. The others were all graphing calculators these calculators cost $58 each.
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Question 137880: The college paid $1718 for an order of 47 calculators. The store paid $10 for each scientific calculator. The others were all graphing calculators these calculators cost $58 each. How many of each type a calculator were sold?
Help again please, no clue how this is done.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The college paid $1718 for an order of 47 calculators. The store paid $10 for each scientific calculator. The others were all graphing calculators these calculators cost $58 each. How many of each type a calculator were sold?
:
Let x = no. of graphing calcs
We are told there were a total of 47 calculators therefore:
(47-x) = no. of scientific calcs
:
Write an equation from the information given
:
cost of x graphing calcs + cost of (47-x) scientific calcs = $1718
58x + 10(47-x) = 1718
:
Multiply what's inside the brackets:
58x + 470 - 10x = 1718
:
58x - 10x = 1718 - 470
:
48x = 1248
x =
x = 26 graphing calcs
:
47 - x =
47 - 26 = 21 scientific calcs
:
:
Check solutions with total cost equation
26(58) + 21(10) =
1508 + 210 = 1718; confirms our solutions
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