SOLUTION: The Everton College store paid $1667 for an order of 46 calculators. The store paid $11 for each scientific calculator. The others, all graphing calculators, cost the store $54 eac

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Everton College store paid $1667 for an order of 46 calculators. The store paid $11 for each scientific calculator. The others, all graphing calculators, cost the store $54 eac      Log On


   

Question 163313: The Everton College store paid $1667 for an order of 46 calculators. The store paid $11 for each scientific calculator. The others, all graphing calculators, cost the store $54 each. How many of each type of calculator was ordered?
The store ordered ___ scientific calculators and ___ graphing calculators.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Total calculators=46
So,SC%2BGC=46 -------------------------> eqn 1
In eqn 1 we get,
SC=46-GC ----------------------------> eqn 2
Also,
11SC%2B54GC=1667 ----------------------> eqn 3
Subst. eqn 2 in eqn 3,
11%2846-GC%29%2B54GC=1667
506-11GC%2B54GC=1667
43GC=1667-506=1161
cross%2843%29GC%2Fcross%2843%29=cross%281161%2927%2Fcross%2843%29
GC=27pcs, Number of Graphic calc.
Via eqn 2:
SC=54-27=19pcs, Number of Scientific calc.
Check via eqn 3:
11%2819pcs%29%2B54%2827pcs%29=1667
209%2B1458=1667
1667=1667
Thank you,
Jojo