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.

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 $12, and each calendar costs $10. The entire order totaled $700.

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)

DeadOfWinter · Answer

Is this all together, or separate questions?

Vocaloid · Answer

part A) you can write one equation for the total # of employees and another equation for the total order cost.

let's suppose x = the # of employees who ordered a calculator and y = the # of employees who ordered a calendar.

there are 60 employees, so x + y = 60
 
each calculator costs $12 and there are (x) calculators ordered, so the total cost of the calculators is 12x. using the same logic for the calendars, the cost of calendars is 10y. the order total is 700 so 12x + 10 y = 700

for part B) it says to solve using substitution or elimination. I would personally recommend elimination here. you can multiply the first equation by 10 to convert the y term to 10 y, then subtract the two equations and solve for x. from there plug x back into the first equation to solve for y.