Question

Miss Myers paid $3600 all together for the equipment furniture and decorations in a restaurant equipment cost $500 more than the furniture the cost of the furniture was twice as much is the cost of the decorations how much did equipment cost

Answer 1

1740, 1240, 620

Explanation:

Here we need to put this data in equations. Let's call E the expenditure in equipment, F the expenditure in furniture and D the expenditure in decoration.

As all of them cost 3600 we can write it as:

E+F+D=3600 (equation 1)

As equipment cost 500 dollars more than furniture, we can write:

F+500=E (equation 2)

And as furniture cost twice as decoration:

F=2D (equation 3)

We need now to leave equation 1 depending on only one variable.

In equation 1, let's replace E by its value given by eq.2 and replace F by its value given from eq.3:

(F+500) + 2D + D = 3600

Now, let's replace the F of the first term by the value given by eq. 3:

(2D +500) + 2D + D = 3600

5D + 500 = 3600

5D = 3100

D = 3100/5

D=620

So, use eq. 3 to find F:

F=2D=1240

Use eq. 2 to find E:

E=F + 500= 1240+500= 1740

And these are the values.