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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 :

MrRoyal

Answer:

[tex]Five = 31[/tex]

Step-by-step explanation:

Given

[tex]Total = 142[/tex]

[tex]Even = 56[/tex]

[tex]One = 21[/tex]

[tex]Three = 34[/tex]

Required:

Number of times 5 were rolled

Even represents 2, 4 and 6.

So, we have:

[tex]Total = Even + One + Three + Five[/tex]

[tex]142 = 56 + 21 + 34 + Five[/tex]

[tex]142 = 111 + Five[/tex]

Collect Like Terms

[tex]Five = 142 - 111[/tex]

[tex]Five = 31[/tex]

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