An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $12, and each calendar costs $10. The entire order totaled $700.

Question

Part A: Write the system of equations that models this scenario. (5 points)

Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary step

Answer 1

Part A:

Let x be the number of calculators ordered.
Let y be the number of calendars ordered.

The system of equations is:

x + y = 60 (one calculator or one calendar for each employee)
12x + 10y = 700 (total cost of the order)

Part B:

Using the substitution method:

x + y = 60 --> x = 60 - y
12x + 10y = 700

Substituting x with 60 - y:

12(60 - y) + 10y = 700
720 - 12y + 10y = 700
-2y = -20
y = 10

Substituting y with 10:

x + 10 = 60
x = 50

Therefore, 50 calculators and 10 calendars were ordered.