I still don't understand can someone help me?
the everton college store paid $1553
for an order of 42 calculators. the
store paid $9 for each scientific calculator. the others, all graphing calculators, cost the store $56 each. how many of each trupe of calculator was ordered?
the store ordered:
how many scientfic calculators?
graphing calculators?
how about...
let the number of scientific calculators be x
then the number of graphing calc's is 42-x
then 9x + 56(42-x) = 1553
9x + 2352 - 56x = 1553
-47x = -799
x = 17
42-x = 25
So they bought 17 scientific and 25 graphing types.
check : 17(9) + 25(56) = 1553
Reiny is mostly correct how I think about it is I think about what I know write it down I see what they are asking me and try to figure it out. Try to make it easier for you to understand
To solve this problem, you need to set up a system of equations to represent the given information. Let's use the variables x and y to represent the number of scientific and graphing calculators, respectively.
From the problem, we know that the store paid $9 for each scientific calculator. Therefore, the total cost of the scientific calculators can be calculated as 9x.
Similarly, we know that the store paid $56 for each graphing calculator. Therefore, the total cost of the graphing calculators can be calculated as 56y.
According to the problem, the total cost of the order was $1553. So we can set up the equation:
9x + 56y = 1553 (Equation 1)
We also know that the store ordered a total of 42 calculators. So we can set up the equation:
x + y = 42 (Equation 2)
To solve this system of equations, you have a few options. One common method is substitution, which involves solving one equation for one variable and substituting it into the other equation. However, in this case, it would be easier to use the elimination method by multiplying Equation 2 by 9 to make the coefficients of x in both equations the same.
Multiply Equation 2 by 9:
9(x + y) = 9(42)
9x + 9y = 378 (Equation 3)
Now we can subtract Equation 3 from Equation 1 to eliminate the x variable:
[9x + 56y] - [9x + 9y] = 1553 - 378
47y = 1175
y = 1175 / 47
y = 25
Now that we have the value of y, we can substitute it back into Equation 2 to find x:
x + 25 = 42
x = 42 - 25
x = 17
Therefore, the store ordered 17 scientific calculators and 25 graphing calculators.