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How many of each type of calculators were bought when 74 were ordered at 9 dollars each for one type and 30 dollars each for the other type costing 1170 dollars in total?
Form a simultaneous equation and let the calculators be known as x and y:
9x+30y = 1170
x+y = 74
Multiply all terms in the bottom equation in order to eliminate x:
9x+30y = 1170
9x+9y = 666
Subtract bottom equation from top equation:
21y = 504 => y = 24
Substitute the value of y into the original equations to find the value of x:
x = 50 and y = 24
Therefore: 50 calculators at 9 dollars each and 24 calculators at 30 dollars were bought.
Check: (9*50)+(30*24) = 1170 dollars
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