Question

One department head is chatting with another: "Today, our two budgets total $1.8 million. But that's only 3% of the company's whole budget. And you spend $2 for every $1 I do." What is the company's whole budget, and what is the budget of each of the two departments

Answer 1

Answer: the company's whole budget is $60 000000

the budget of each of the two departments are $1200000 and $600000

Step-by-step explanation:

Let x represent the budget of one department.

Let y represent the budget of the other department.

The total budget is $1.8 million. It means that

x + y = 1800000 - - - - - - - - - -1

If you spend $2 for every $1 I do,it means that

x = 2y

Substituting x = 2y into equation 1, it becomes

2y + y = 1800000

3y = 1800000

y = 1800000/3

y = $600000

x = 2y = 2 × 600000

x = $1200000

Let z represent the company's whole budget. If $1.8 million is only 3% of the company's whole budget, it means that

3/100 × z = 1800000

0.03z = 1800000

z = 1800000/0.03

z = $60000000