Question

Maeve makes birdseed by mixing peanuts and sunflower seeds in a 3:2 ratio. the peanut costs 5p per 10g and the sunflower seeds cost 7p per 10g. Maeve sells the birdseed £1 per 100g portion.
How much profit does Maeve make on each portion?

Answer 1

Answer:

42 p

Step-by-step explanation:

Let the weight of peanuts added = P  and sunflower seeds by S

The ratio P:S is 3:2

That means for every 5 g of birdseed, P = 3 g and S = 2 g

Fraction of birdseed that is peanuts = 3/5
Fraction of birdseed that is sunflower seeds = 2/5

100 g of birdseed will have 100 x 3/5 of peanuts = 60 g
100 g of birdseed will have 100 x 2/5 of sunflower = 40 g

Cost of 10 g of peanuts = 5p
Cost of 60 g of peanuts = (5/10)  x  60 = 30 p

Cost of 10 g of seeds = 7p
Cost of 40 g of seeds = (7/10)  x  40 = 28p

Total cost for 100 g of birdseed = 30 + 28 = 58 p

Selling price for 100 g = £1 = 100 p

Profit per portion of 100 g = 100p - 58p = 42 p