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Lara makes birdseed by mixing peanuts and sunflower seeds in a 2:3 ratio. The peanuts costs 3p per 10g and the sunflower seeds cost 9p per 10g. Lara sells the birdseed £1 per 100g portion.
How much profit does Lara make on each portion? Give your answer in pence.
Step by step explanation plssss tqsm. ​

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Answer:

Lara will do a profit of 34 pence by 100 grams of birdseed.

Step-by-step explanation:

The given ratio means that there are 2 grams of peanuts and 3 grams of sunflower per each 5 grams of birdseed. Now, we obtain the amount required of peanuts and sunflower for 100 grams of birdseed by simple rule of three:

Peanuts

[tex]x = \frac{100\,g}{5\,g}\times 2\,g[/tex]

[tex]x = 40\,g[/tex]

Sunflower

[tex]y = \frac{100\,g}{5\,g}\times 3\,g[/tex]

[tex]y = 60\,g[/tex]

If we know that 10 grams of sunflower cost 9 pence and 10 grams of sunflower cost 3 pence, then the total cost of production of 100 grams portion:

[tex]C = \left(\frac{0.03\,GBP}{10\,g} \right)\cdot (40\,g)+\left(\frac{0.09\,GBP}{10\,g} \right)\cdot (60\,g)[/tex]

[tex]C = 0.66\,GBP[/tex]

And the profit done by Lara is:

[tex]\Delta C = 1\,GBP - 0.66\,GBP[/tex]

[tex]\Delta C = 0.34\,GBP[/tex]

Lara will do a profit of 34 pence by 100 grams of birdseed.

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