An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.

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 steps. (5 points)

Question

An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.

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 steps. (5 points)

Vocaloid · Answer

Part A) Let C = the number of calculators and D = the number of calendars

If each calculator costs $15 then the cost of C calculators is 15*C or simply 15C. Similar logic with the calendars, 10D. The entire order is 800 so 15C + 10D = 800

It says each of 60 employees got *either* a calendar or a calculator, so C + D = 800

So your system is 
15C + 10D = 800
C + D = 60

For part B, solve using substitution or elimination. Personally I would recommend elimination as the equations have a C term added to a D term. You could multiply the second equation by 10 and eliminate the D terms through subtraction, solve for C, then go back and plug in the C value to solve for D.