Last month you spent ​$40 on clothing. This month you spent ​120% of what you spent last month. Set up a proportion to model this situation. How much did you spend this​ month?

Respuesta :

Answer:

$48

Step-by-step explanation:

Given that:

Money spent on clothing last month = $40

Money spent this month is 120% of the spending of the last month.

To find:

A proportion to model this situation.

And the spending done this month?

Solution:

Let us have a look at 120% first.

[tex]120\%= \dfrac{120}{100} = \dfrac{6}{5}[/tex]

[tex]\frac{6}{5}[/tex] of [tex]x[/tex] can be found by comparing [tex]x[/tex] with 5, then we have to find the equivalent of 6.

Here, [tex]x[/tex] is 40.

5 parts are equivalent to 40

1 part is equivalent to [tex]\frac{40}{5} = 8[/tex]

6 parts are equivalent to [tex]8\times 6 = 48[/tex]

OR

simply:

[tex]40 \times \dfrac{120}{100} = 48[/tex]