How can $500 be divided between four people so that each person gets $20 more than the person before.

$95, $115, $135, $155

Step-by-step explanation:

If the first person gets x dollars:

the next person gets 20 more, so x + 20 dollars

the next person gets x + 40 dollars

and the last person gets x + 60 dollars

We add all these allocations together, and we get $500

x + (x + 20) + (x + 40) + (x + 60) = 500

Combine like terms

4x + 120 = 500

Subtract 120 on both sides

4x = 380

Divide by 4 on both sides

x = 95

So the first person gets $95.

The second person must get $115

The third must get $135

And the fourth must get $155

Checking our work:

95 + 115 + 135 + 155 = 500

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

she will travel a distance in the range of 3 - 11 miles