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

answer: the value of x is 7cm

step-by-step explanation: