Question

a 100 kg mixture of two different types of nuts costa $550. if type A costs $4 per kg and type B costs $7 per kg, how many of each type were used?

Answer 1

Given:

A 100 kg mixture of two different types of nuts costa $550.

If type A costs $4 per kg and type B costs $7 per kg

To find:

How many of each type were used?

Solution:

Let's assume,

"x" kg → represents the quantity of type A used

"y" kg → represents the quantity of type B used

The total quantity of the mixture of nuts used = 100 kg

∴ $x + y = 100$ ...... (i)

Type A costs $ 4 per kg, type B costs $ 7 per kg and the total cost of the mixture $ 550

∴ $4x + 7y = 550$ .... (ii)

On multiplying eq. (i) by 4, we get

$4x + 4y = 400$ ..... (iii)

On subtracting eq. (iii) from eq. (ii), we get

$4x + 7y = 550$

$4x + 4y = 400$

-    -          -

---------------------

  $3y = 150$

----------------------

∴ $\bold{y} = \frac{150 }{3} = \bold{50}$ ← type B of nuts

On substituting the value of y in eq. (i), we get

$x + 50 = 100$

$\implies x = 100 - 50$

$\implies \bold{x = 50}$ ← type A of nuts

Thus, 50 kg of each type of nuts were used.

-------------------------------------------------------------------------------------------

Also View:

A nut mix contains almonds, cashews and macadamia nuts in the ratio of 20 : 10 : 2. If there are 640 nuts in the bag, how many macadamia nuts are there?

https://brainly.in/question/17073597

There are 2 types of mixed nuts. Type a and type b. 1/3rd of type a nuts and 2/5th of type b nuts are peanuts. A mixture of 2 1/2kg of type a and 5 1/2 kg of type b are mixed together what fraction of this mixture is peanut

https://brainly.in/question/11335317

two varieties of cashew nuts costing ₹650 and ₹900 kg are mixed in the ratio of 2 : 3 to create a new variety. if the mixed variety is sold at rupees 900 per kg, find the gain or loss per cent

https://brainly.in/question/5943475

A trader mixes three varieties of groundnuts costing Rs. 50, Rs. 20 and Rs. 30 per kg in the ratio 2: 4: 3 in terms of weight, and sells the mixture at Rs. 33 per kg. What percentage of profit does he make?

https://brainly.in/question/7398910

Answer 2

Answer:

...........................................:)

Step-by-step explanation: