# Thread: Algebraic ways of solving these problems.

1. ## Algebraic ways of solving these problems.

Im taking a simple introductory arithmetic math course in Uni and the professor I have is using bizarre methods to solve seemingly simple world problems. I would like to solve this problems algebraically as Im most comfortable using this method, only problem is that I have forgotten the ways to solve these word problems.

Any help is greatly appreciated.

E.g
1.
A team of 15 employees, working 6 hours a day, does a job in 9 days. How many employees, working 9 hours a day, would be needed to do the same job in 5 days?

2.
A mixture of 100kg of tea at $20 per kg is made up of 60kg at$22 per kg and 40kg at a certain price. What is the price per kg of the second tea?

3.

Greetings

EB

4. ## flour power

...
3.
In what proportion should one mix flour at $1.2 per kg with flour at$1.6 per kg to obtain a mixture at \$1.35 per kg?
Hello,

let us suppose, that you want to produce exactly 1 kg of the flour-mixture. The ingredients are x kg of the cheaper flour and (1-x) kg of the more expensive one. Translate this sentence into an equation:
$x \cdot 1.2 \frac{\}{kg}+(1-x) \cdot 1.6 \frac{\}{kg}= 1 kg \cdot 1.35 \frac{\}{kg}$

Solve this equation for x and you'll get: x = 0.625 kg of the cheap flour
and 0.375 kg of the expensive flour.

It is asked for the proportion so you'll get:
$\frac{expensive}{cheap}=\frac{.375}{.625}=\frac{3} {5}$

Greetings

EB