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?
Mathematics · High School · Thu Feb 04 2021
Answered on
Given :
Cost price of Enebars = 40p per bar
Cost price of Grainbars = 40p per bar
Cost price of 60 Amzebars = 0
Total cost of Enebars = 60 × 40p
= 2400 or £24
Total cost of Grainbars = 120 × 50
= 6000 or £60
So, total cost price = £(24 + 60)
= £84
Now, selling price of each bar = £2.60
According to question, Nina sold all the Enebars and Grainbars. So,
Selling price of Enebars and Grainbars = 180 × 2.60
=£468
Let the number of Amazebars sold be x
Then,
475 = 468 - 84 + 2.60x
[ profit = Selling price - cost price]
475 = 384 + 2.60x
2.60x = 475 - 384
2.60x = 91
x = 91/2.60
x = 35
Hence, number of Amazebars sold is 35