Mark bought 10 baseball tickets for a total of $58.00. Adult tickets cost
$8.00 each and children tickets cost
$2.50 each. How many children
tickets and adult tickets did he buy?

6 adult tickets, 4 children tickets

Step-by-step explanation:

Let a = number of adult tickets.

Let c = number of children tickets.

Equation of numbers of tickets:

a + c = 10

Equation of cost of tickets.

8a + 2.5c = 58

Multiply both sides of the first equation by -8 and add it to the second equation.

        -8a -    8c = -80

(+)      8a + 2.5c = 58

                 -5.5c = -22

c = 4

a + c = 10

a + 4 = 10

a = 6

6 adult tickets, 4 children tickets

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

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct