## Tim earned $300 in five days. After the first day, he earned $10 more each day than the day before. How much did Tim earn on the first day?

Question

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## Answers ( No )

Use the equation 300⇒5x to find how much tim made each day on average.

x⇒60 so, Day 1: $60, Day 2: $70 etc.. so the equation 300=5x+10 suffices the problem. 300⇒5x+10 ⇒ 290=5x

x=58

So, Tim earned $58 his first day. Hope this helped.

The given problem is based on arithmetic sequenceSn = 300 (the sum of money in five days)

d = 10 (the difference day by day)

n = 5

The question asks how much Tim earn on the first day, we write it as a₁

The general formula to find the sum of a sequence isn/2 (2a₁ + d(n-1)) = Sn

Input the numbers to the formula to find the value of a₁n/2 (2a₁ + d(n-1)) = Sn

5/2 (2a₁ + 10(5-1)) = 300

5/2 (2a₁ + 10(4)) = 300

5/2 (2a₁ + 40) = 300

2a₁ + 40 = 300 × 2/5

2a₁ + 40 = 120

2a₁ = 120 – 40

2a₁ = 80

a₁ = 80/2

a₁ = 40

The first day, Tim earned $40