The ratio of brenda’s age to jason’s age is 4: 5. in eight years the ratio will be 6: 7. how old is brenda now? a. 20 c. 28 b. 16 d. 12

Declarations

Let Brenda's age be B

Let Jason's age be J

Equations

Solution

Cross multiply both fractions

5B = 4J                             (1)

7(B + 8) = 6(J + 8)             Remove the brackets on both sides.

7B + 56 = 6J + 48             Subtract 48 from both sides

7B + 56 - 48 = 6J

7B + 8 = 6J                       (2)

Use Equation (1) to solve for J

5B = 4J   Divide by 4

5B/4 = J                                 Pult this result in equation 2

7B + 8 = 6*( 5B/4)

7B + 8 = 30*B/4

7B + 8 = 7.5 B                      Subtract 7B from both sides.

8 = 7.5B - 7B

8 = 0.5 B                              Divide by 0.5

B = 8/0.5

B = 16  <<<< Answer

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points