SOLUTION: The Everton College Store paid $1792 for an order of 51 calculators. The store paid $9 for each scientific calculator. The others, all graphing calculators, cost the store $52 each

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Question 519750: The Everton College Store paid $1792 for an order of 51 calculators. The store paid $9 for each scientific calculator. The others, all graphing calculators, cost the store $52 each. How many of each type of calculator was order?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
s = number of scientific calculators
9s = cost of the scientific calculators
g = graphing calculators
52g = cost of the graphing calculators
.
s + g = 51
so
s = 51-g
.
9s + 52g = 1792
.
substitute
.
9(51-g) +52g = 1792
459 -9g +52g = 1792
43g = 1792 - 459
43g = 1333
g = 31
.
s = 51-31
s = 20
.
Answer: They bought 20 scientific calculators and 31 graphing calculators.
.
Check the values to make sure.
9(20) = 180
52(31) = 1612
180+1612 = 1792
Correct.
.
Done.