Question

a grocer mixes two types of nuts, brand a and brand b. If the mix incluedes 4kg of brand a and 6kg of brand b, the mix will cost $6.20 per kilogram. If it incluedes 2 kg of brand a and 8kg of brand b, it will cost 5.60 per kilogram Find the cost per kilogram of each brand

Answer 1

Answer: Brand A costs 0.8 while brand B costs 0.5.

Explanation:

The cost per kilogram for brand A is 0.8 while brand B is 0.5.

The explanation and calculation are in the attached file.

Answer 2

for brand a= $8 per/kg and brand b=$5 per/kg

Explanation:

Let A be the cost per kg. of brand a

Let B be the cost per kg. of brand b

forming the equation: (wt. * cost + wt. * cost = wt. * cost)

4A + 6B = 10(6.20) ------(1)

2A + 8B = 10(5.60) ------(2)

lets find out the values of A and B by solving above equations.

(1)=>
`A=(10(6.20)-6B)/(4)`

`A=(62-6B)/(4)` put this value in eq(2)

(2)=>
`2((62-6B)/(4) )+8B=10(5.60)`

`(62-6B+16B)/(2) =56`

`10B+62=112`

`B=(112-62)/(10)` = 5 ---> ($5 per/kg for B)

now for A,

`A=(62-(6)(5))/(4)`=8 ---> ($8 per/kg for A)