Question

Nina is selling three types of energy bars at a market stall.

She bought 80 Enerbars at 40p per bar and 180 Grainbars at 30p per bar from her normal supplier.
She was also given 40 Amazebars as a promotion from a new supplier.
Nina sells the bars for £2.25 and manages to sell all the Enerbars and Grainbars but only some Amazebars.
She makes a profit of £553.
How many Amazebars did she sell?

Answer 1

To find the number of Amazebars Nina sold, we need to determine the total cost of the Enerbars, Grainbars, and Amazebars. By subtracting the cost from the profit, we can find the selling price of the Amazebars and calculate the number of Amazebars sold.

Step-by-step explanation:

To find the number of Amazebars that Nina sold, we need to first determine the total cost of the Enerbars, Grainbars, and Amazebars.

Nina bought 80 Enerbars at 40p per bar, which amounts to 80 x 0.40 = £32. She also bought 180 Grainbars at 30p per bar, which amounts to 180 x 0.30 = £54. Finally, she received 40 Amazebars for free.

The total cost of the bars she sold is £32 + £54 = £86. And since her profit was £553, we can subtract the cost from the profit to find the selling price of the Amazebars: £553 - £86 = £467.

Since she sold all the Enerbars and Grainbars, we can subtract their selling price from the total selling price to find the selling price of the Amazebars: £2.25 x (80 + 180) = £2.25 x 260 = £585.

Therefore, the number of Amazebars she sold is £585 - £467 = £118.

Answer 2

She sold 24 Amazebars.

Step-by-step explanation:

Cost:

80 x 0.40 = 32

180x 0.30 = 54

40 x 0 = 0

Total = 86

Income

80 x 2.25 = 180

180 x 2.25 = 405

X x 2.25 = 2.25x

Total = 585 + 2.25x

How many did she sell:

553 = 585 - 86 + 2.25x

553 = 499 + 2.25x

553 - 499 = 2.25x

54 = 2.25x

54/2.25 = x

24 = x