The total profit for a company in February was 20 higher tha

The total profit for a company in February was 20% higher than it was in January. The total profit for the two months was $157,498.

Find the profit for each month.

I was thinking (.20)x + y = 157,498 but I don\'t think it makes sense..thank you

Solution

Let us assume the Profit for January = x

Then by data, profit for February=x+20% of x=1.2x.

Total profit for January and February= x+1.2x=2.2x algebraically.

The given profit for months of January and Februar=$157 498

Therefore the required equation is:

Agebraic profit = actaual profit.

2.2x=$157498.

Solve for x, and you get the profit for January=x=157498/2.2

=$71590

So, the profit for February=1.2x=1.2*71590=$85908.

The total profit for a company in February was 20% higher than it was in January. The total profit for the two months was $157,498. Find the profit for each mon

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