Question 161203: The Everton College store paid $1792 for an order of 48 calculators. The store paid $8 for each scientific calculator. The others, all graphing calculators, cost the store $52 each. How many of each type of calculator was ordered?
The store ordered ____ scientific calculators
The store ordered ____ graphing calculators
Answer by judysvaz(1)   (Show Source):
You can put this solution on YOUR website! This problem requires two equations from the information that you provided we can come up with X(scientific calculator) Y(graphing calculator) equal to 48 calculators.
X+Y=48
the next equation will be the cost of the calculators together. X cost $8 and Y cost $52 for a total cost of $1792
8X+52Y=1792
now we can use the first equation to solve this problem, first we need to have one variable so lets subtract Y from both sides. The new equation will be X=48-Y
now that we have solved for X we can plug this in to our second equation.
8(48-Y)+52y=1792---- 384-8Y+52Y=1792 we need to combine like terms ----- 384+44Y=1792. Now we need to subtract 384 from both sides. 44Y=1408, we need Y by itself so we divide both sides by 44 and get Y=32. Now that we know what Y is, we can go to equation number one and plug it in. X+32=48 we subtract the 32 from both side and have X=16. You can check this problem by plugging both numbers back into equation number two 8(16)+52(32)=1792---- 128+1664=1792 which is correct. Equation number one 16+32=48. Therefore we have solved the problem.
The store purchased
16 scientific calculators and 32 graphing calculators
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