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

Explanation:

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

`(M)/(J)=(4)/(3)` (1)

In addition, we are told Julia collected 36 tickets:

`J=36` (2)

Substituting (2) in (1):

`(M)/(36)=(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.