Question

Lucy and Cody were playing a board game. They rolled a die 142 times. An even number was rolled 56 times. A one was rolled 21 times. A three was rolled 34 times. How many times was a five rolled? Select the correct equation to solve. A. 142 - 56 - 21 + 34 = t B. 142 - 56 - 21 - 34 = t C. 142 + (56 - 21) + 34 = t Solution:

Answer 1

`Five = 31`

Explanation:

Given

`Total = 142`

`Even = 56`

`One = 21`

`Three = 34`

Required:

Number of times 5 were rolled

Even represents 2, 4 and 6.

So, we have:

`Total = Even + One + Three + Five`

`142 = 56 + 21 + 34 + Five`

`142 = 111 + Five`

Collect Like Terms

`Five = 142 - 111`

`Five = 31`