Question

Nina is selling three types of energy bars at a market stall. She bought 60 Enerbars at 40p per bar and 120 Grainbars at 50p per bar from her normal supplier. She was also given 60 Amazebars as a promotion from a new supplier. Nina sells the bars for £2.60 and manages to sell all the Enerbars and Grainbars but only some Amazebars. She makes a profit of £475. How many bars did she sell?

Answer 1

Nina sold a total of 182 energy bars.

Step-by-step explanation:

To find out how many bars Nina sold, we need to analyze the information given in the question step by step.

First, let's calculate how much Nina spent on buying the energy bars from her normal supplier. Nina bought 60 Enerbars at 40p each, which amounts to 60 x 0.40 = £24.00. She also bought 120 Grainbars at 50p each, which amounts to 120 x 0.50 = £60.00.

Next, let's calculate the total cost of the Amazebars that Nina was given as a promotion. Since she got 60 Amazebars for free, their cost is £0.00.

Therefore, the total cost of all the bars that Nina sold is £24.00 + £60.00 + £0.00 = £84.00.

Now, let's calculate the total revenue from selling the bars. Nina sells each bar for £2.60, so the revenue from selling the Enerbars and Grainbars would be (60+120) x £2.60 = £468.00.

To find out how many Amazebars she sold, we subtract the revenue from the Enerbars and Grainbars from the total revenue: £468.00 - £475.00 = £7.00. Since each Amazebars was sold for £2.60, she sold £7.00/£2.60 = 2.69 Amazebars. However, since we can't sell a fraction of a bar, we round down to the nearest whole number, which means Nina sold 2 Amazebars.

Therefore, the total number of bars that Nina sold is 60 (Enerbars) + 120 (Grainbars) + 2 (Amazebars) = 182 bars.

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