Question

Stacey is selling scientific and graphing calculators. Scientific calculators sell for $70, while graphing calculators sell for $120. If she sold a total of 38 calculators and she received a total of $3260, how many of each type of calculator did Stacey sell?

Answer 1

Stacey sold 26 scientific calculators and 12 graphing calculators. This was found by setting up a system of equations with the total number of calculators and the total sales, solving for one variable in terms of the other, and then substituting back to find both values.

Step-by-step explanation:

To solve the problem of how many scientific and graphing calculators Stacey sold, we can set up a system of equations based on the information provided. Let x be the number of scientific calculators and y be the number of graphing calculators. We have two equations:

• Equation for the total number of calculators sold: x + y = 38
• Equation for the total sales amount: 70x + 120y = 3260

Now, we solve this system of equations. First, we can express y in terms of x from the first equation:

y = 38 - x

Substitute y in the second equation to find x:

70x + 120(38 - x) = 3260

Simplify and solve for x:

70x + 4560 - 120x = 3260

-50x = 3260 - 4560

-50x = -1300

x = 26

Substitute x back into y = 38 - x to find y:

y = 38 - 26 = 12

So, Stacey sold 26 scientific calculators and 12 graphing calculators.