Question

If one order of fries and five burgers cost twice as much as three orders of fries and two burgers, how many times as much does a burger cost compared to one order of fries? to start the problem is 1f+5b=2 (3f+2b)

Answer 1

A burger cost five times as much as a fries.

Explanation:

Let F represent fries

Let b represent burgers

From the question:

An order of fries and five burger can be written as:

f + 5b

Three orders of fries and two burgers can be written as:

3f + 2b

But an order of fries and five burgers cost twice as much as three orders of fries and two burgers. This can be written as:

f + 5b = 2(3f + 2b)

Now, we shall make b the subject of the above equation. This is illustrated below:

f + 5b = 2(3f + 2b)

Clear bracket

f + 5b = 6f + 4b

Collect like terms

5b – 4b = 6f – f

b = 5f

Thus, a burger cost five times as much as a fries.