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
=[tex]\frac{35}{100}X400[/tex]
=$140
The homeowner spent $140 on landscaping this month.
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
