Question

there are 140 families who owned pets in the Washington Heights neighborhood. This is 35% of the total number of families what is the total number of families in the neighborhood?

Answer 1

Step-by-step explanation:

for % questions, if you know nothing else, always find 100% and/or 1%. everything else can be constructed out of any of them.

100% is for example 100×1%.

so, we know

35% = 140

now, how many families are 1% ?

1% = 35%/35 = 140/35 = 4 families

and now

100% = 1% × 100 = 4 × 100 = 400 families

so, in short we could have done

140 × 100/35

in general for

n = x%

100% = n × 100/x

the total number of families in the neighborhood is 400.

Answer 2

The total number of families in the Washington Heights neighborhood is 400, calculated by dividing the number of pet-owning families (which is 35% of the total) by 0.35.

Step-by-step explanation:

To find the total number of families in the Washington Heights neighborhood, we start with the fact that the 140 families who own pets represent 35% of the total. To calculate the total number of families, we can set up a simple proportion where 35% (or 0.35 when converted to a decimal) is to 140 as 100% (or 1 when converted to a decimal) is to the total number of families (T).

So, the equation to find T is:

0.35 = 140 / T

Multiplying both sides by T and then dividing both sides by 0.35 gives us:

T = 140 / 0.35

Calculating that gives us:

T = 400

Therefore, the total number of families in the Washington Heights neighborhood is 400.