Subjects algebra

Total Loss E03A85

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1. **State the problem:** Calculate the total loss (in the red) for Premier Arts Company over four months: July, August, September (losses), and October (profit). 2. **Write the formula:** Total loss = Sum of losses + Profit 3. **Calculate the total loss using exact figures:** July loss = -6432 August loss = -5490 September loss = -3560 October profit = +2500 Total loss = -6432 + (-5490) + (-3560) + 2500 4. **Perform the addition:** $$-6432 - 5490 = -11922$$ $$-11922 - 3560 = -15482$$ $$-15482 + 2500 = -12982$$ So, the company is £12982 in the red. 5. **Round each figure to the nearest £1000:** July loss ≈ -6000 August loss ≈ -5000 September loss ≈ -4000 October profit ≈ 3000 6. **Calculate the total loss with rounded figures:** $$-6000 - 5000 - 4000 + 3000 = -12000$$ So, the rounded total loss is £12000. **Final answers:** - Exact total loss: £12982 - Rounded total loss: £12000