Question

In a competition, the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4:3. Julia collected 36 tickets. How many tickets did they collect altogether

Answer 1

Answer: 84 tickets

Step-by-step explanation:

We are told the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4:3

$\frac{M}{J}=\frac{4}{3}$ (1)

In addition, we are told Julia collected 36 tickets:

$J=36$ (2)

Substituting (2) in (1):

$\frac{M}{36}=\frac{4}{3}$ (3)

Isolating $M$:

$M=48$ (4)

Adding Mark's tickets to Julia's:

$M+J=48+36=84$

Therefore, both collected 84 tickets.