Toby has 75% as many comic books as Mitch. Jarrett has 25% more comic books than Mitch. If Toby has 45 comic books, how many comic books does Jarrett have. Show all of your work.

Respuesta :

Answer:

Jarrett has 75 comics

Step-by-step explanation:

T = Number of comic books Toby has.

M = Number of comic books Mitch has.

J = Number of comic books Jarrett has.

Toby has 75% as many comic books as Mitch.

T = 3/4 * M

This is because 75% = 75/100 = 3/4

Jarrett has 25% more comic books than Mitch.

J = 5/4 * M

This is because 125% = 125/100 = 5/4

If Toby has 45 comic books, how many comic books does Jarrett have.

1) Substitute T = 45 and Solve for M

T = 3/4 * M

45 = 3/4 * M

45 ÷ 3/4 = M

45 * 4/3 = M

180/3 = M

M = 60

2) Substitute M = 60 and Solve for J

J = 5/4 * M

J = 5/4 * 60

J = 300/4

J = 75

Jarrett has 75 comics