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Over the last three evenings, Linda received a total of 108 phone calls at the call center. The third evening, she received 4 times as many calls as the firstevening. The second evening, she received 6 fewer calls than the first evening. How many phone calls did she receive each evening?Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening:

User Andrbrue
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1 Answer

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Given:

Total number of calls over the last 3 evenings = 108

Number of calls on the third evening = 4 times as many as the first evening

Number of calls on the second evening = 6 fewer calls than the first evening

Let's find the number of phone calls she received each evening.

Let x represent the number of phone calls she received on the first evening

Let y represent the number of phione calls she received on the second evening

Let z represent the number of phone calls she received on the third evening.

Thus, we have:

• Calls on first evening = x

• Calls on second evening = x - 6

• Calls on the third evening = 4x

Since the total number of calls received is 108, we have the equation:

x + (x - 6) + 4x = 108

Let's solve for x:

x + x - 6 + 4x = 108

Combine like terms:

x + x + 4x - 6 = 108

6x - 6 = 108

Add 6 to both sides:

6x - 6 + 6 = 108 + 6

6x = 114

Divide both sides by 6:


\begin{gathered} (6x)/(6)=(114)/(6) \\ \\ x=\text{ 19} \end{gathered}

To find the number of calls she received each evening, substitute 19 for x in each expression.

Thus, we have:

Number of phone calls the first evening: x = 19

Number of phone calls the second evening: x - 6 = 19 - 6 = 13

Number of phone calls the third evening: 4x = 4(19) = 76

ANSWER:

• Number of phone calls the first evening = 19

,

• Number of phone calls the second evening = 13

,

• Number of phone calls the third evening = 76

User Spencercw
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