Question

Over the last 3 evenings, Yolanda received a total of phone 96 calls at the call center. The third evening, she received 4 times as many calls as the first evening. The first evening, she received 6 more calls than the second evening. How many phone calls did she receive each evening?

Answer 1

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Step-by-step explanation:

Given,

Total calls received = 96

Let,

x be the number of calls received on second day.

Calls received on first day = x+6

Calls received on third day = 4(x+6)

Sum of calls received on three days = Total

$x+(x+6)+4(x+6)=96\\x+x+6+4x+24=96\\6x+30=96\\6x=96-30\\6x=66$

Dividing both sides by 6

$\frac{6x}{6}=\frac{66}{6}\\x=11$

Calls received on first day = x+6 = 11+6 = 17 calls

Calls received on second day = x = 11 calls

Calls received on third day = 4(11+6) = 4(17) = 68 calls

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Keywords: addition, linear expression

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