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

Question

Mathematics

Emily House

13 June, 01:09

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

+4

Answers (1)

Know the Answer?

Nitro · Answer 1

1740, 1240, 620

Step-by-step 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.