Question

A home owner has a monthly budget of $400 to spend on their homes landscaping. If they spent 35% of their budget this month on landscaping, how much was spent?

Answer 1

Answer:

$140

Step-by-step explanation:

If the Monthly Budget for Landscaping=$400

and the Percentage of Landscaping Budget Spent this Month=35%

The Amount Spent on Landscaping=35% of Total Landscaping Budget

=35 percent of $400

Recall that percentage is always over 100, therefore 35%=35/100

=$\frac{35}{100}X400$

=$140

The homeowner spent $140 on landscaping this month.

Answer 2

Answer:

$260 was spent.

Step-by-step explanation:

The main problem is about proportion, specifically direct proportion.

$400 is the total budget, wich means is 100% of the budget.

They spent 35%, so we need to substract the amount of spent budget to total budget, in order to know how much was spent, we will call it remaining budget:

total budget=100%

spent budget=35%

remaining budget=total budget - spent budget

remaining budget= 100% - 35% = 65%

remaining budget= %65

As a result of the substraction we have the   percentage of remaining budget, 65%. The next step is to transform that percentage into an amount of money.   To do that we use the Mathematical Rule of Three.

The Rule of Three is a method to solve direct proportion problems, when we have three quantities related to each other. For this case %100 equals $400 and %65 equals to unknown, that's the cuantitie we want to know, that is, remaining budget, as shown below:

%100  -> $400

%65 -> x

On a general form it could be understood as a relation between a-b and c-x:

a -> b

c -> x

Next we will apply the following formula

[tex]x= \frac{c*b}{a} [\tex]

For this case:

[tex]x= \frac{65*400}{100}  [\tex]

[tex]x= $260[\tex]

The remaining budget is $260