Question

URGENT: A grocer has 150 kg of walnuts that sell for $6 per kg. She plans to add almonds that sell for $5.30 per kg to the walnuts to make a mixture that sells for $5.50 per kg. How many kg of almonds should she add? (MUST SHOW WORK)

Answer 1

let c = cashew pounds, w = walnut pounds, m = mixed pounds

Here's what we know:

c + w = m

7c + 5.5w = 6.50m

m = 35

So we now have:

c + w = 35

7c + 5.5w = 227.5

We can use substitution or elimination here. Let's try substitution in this case:

c = 35 - w

7(35 - 7) + 5.5w = 227.5

245 - 7w + 5.5w = 227.5

245 - 1.5w = 227.5

-1.5w = -17.5

w = 11 2/3

Now to solve for cashews:

c = 35 - 11 2/3

c = 23 1/3

Check:

23 1/3 * 7 + 5.5 * 11 2/3 = 227.5

163 1/3 + 64 1/6 = 227.5

163 2/6 + 64 1/6 = 227.5

227 3/6 = 227.5

227.5 = 227.5

Explanation:

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